Topic: pythagoras theorem list of topics
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	The length of a line at 45 degrees		2022-04-09
		From Aiden: Let's say one line is diagonal and one line is vertical. If they eventually meet at a 45 Degree angle, How long will the diagonal line be compared to the vertical line? (For Example: If The Vertical Line is Exactly 1 Inch. Answered by penny Nom.
	Scale drawing		2021-02-10
		From Elias: a football field is 160m long and 120m wide . Find the distance between its opposite corner flag posts . use the scale of 1cm:20m Answered by Penny Nom.
	The height of a building		2019-04-05
		From Hayley: A young man is 36 meters away from a building and looking at a bird sitting on top of the building. The man knows he is 85 meters away from the bird. How tall is the building? Answered by Penny Nom.
	How far is the boat from the harbour?		2016-10-06
		From Karabo: a boat sails 30 km due east from a harbour. Then it sails 40 km due north. How far is it from the harbour? Answered by Penny Nom.
	A puzzle embedded in a table top		2016-05-13
		From Aaron: I want to make a table with a puzzle embedded in it. The table top would be a 36" circle and the puzzle is 20"x27" I'm thinking that it's not going to fit, but not sure. Any help would be appreciated. Thanks, Aaron Answered by Penny Nom.
	The diagonal of a 10 acre square		2016-04-11
		From Derrick: I own 100 acre square of land. I want to run from farthest corner of property to farthest corner, Diagonally. How many miles would I have traveled? Answered by Penny Nom.
	An isosceles right triangle		2015-05-17
		From Ari: In a 45-45-90 triangle find the ratio of a leg to the hypotenuse Answered by Penny Nom.
	A scalene triangle		2014-01-07
		From cherry: Hi I have been given a scalene triangle of sides - 8m, 6m, and 10m .. Please help me to find out the area and help me to find out the height .. Answered by Penny Nom.
	The area of a quadrilateral		2013-12-21
		From khushboo: Find the area of quadrilateral pqrs in which angle QPS=90°,PQ=12cm, PS=9cm, QR=8cm and SR=17cm. (Hint: PQRS has two parts) Answered by Penny Nom.
	The height of a triangle		2012-10-17
		From Brian: the base of my triangle is 12 metres and the two sides are 8.45 metres can you help me find the height of the triangle Answered by Penny Nom.
	A circle and a chord		2012-02-11
		From Sophia: The diagram shows a circle with a chord that is 10cm long. The middle of the chord is 12cm from the centre of the circle. Calculate the radius. Chord length is 10cm. The distance from the centre to chord is 12 cm. Answered by Penny Nom.
	The perimeter of a figure		2011-04-27
		From syed: Hello I'm Syed from Bangladesh. Please help me out! It is killing me. The question is=2C find the perimeter of the figure. I can't find the perimeter. I am enclosing the figure as an attachment. Answered by Penny Nom.
	A right angled triangle		2011-04-22
		From jeremy: Solve the right triangle with the given sides and angles. a=3.0 cm and b=1.6 cm Answered by Penny Nom.
	How far is it from the control tower?		2011-04-11
		From Varun: An aircraft is vertically above a point which is 10 kms west and 5 kms north of a control tower. if the aircraft is 4000 mts above the ground,how far is it from the control tower? Answered by Penny Nom.
	A circle in a square in a circle in a square		2011-03-29
		From George: A circle within a square which is inside a larger circle which is also within a square. (a circle in a square inside a circle in a square) Equation of the smaller circle is: x ^ 2 x y ^ 2 = 25. What are the dimensions of the larger square? Been 40 years, trying to help my son. Answered by Penny Nom.
	Calibrating a conical tank		2011-02-05
		From Bill: Hi, I have a round tank with tapered sides where I know the diameter at the top and bottom. Is there a formula I can use to calculate the volume by measuring from the bottom up the side (at the angle of the side) to any given point? Thanks, Bill Answered by Stephen La Rocque and Penny Nom.
	Points with distance 5 from the point (-2, -1)		2011-01-19
		From Alexa: Find all points having a x-coordinate of 2 whose distance from the point (-2, -1) is 5. Answered by Penny Nom.
	A man made circular lake		2010-11-25
		From ailish: A man made circular lake has a diameter of 338 m. A bridge is to be constructed across the lake in such a way that it is 119 m away from the center of the lake. How long is the bridge? Answered by Penny Nom.
	The equation of a circle		2010-10-20
		From Silvan: Hi, I just want to find the x,y values for the circumference of a circle... Lets take a clock having its centre at (0,0) in a graph. I just want to know how to find the (x,y) co-ordinates for the curved path or the surface of the circle.. Is there any formula to directly align the curved path or the circumference of the circle in a graph for a known radius of a circle.. I feel it will be useful for me to draw a clock in a graph... :-) Answered by Penny Nom.
	A truck goes south and then east		2010-08-26
		From MARK: A truck starts at point A and drives South 3 miles. Then it turns left at Point B and drives east four miles to point C. How many miles is the truck at point C from point A if it were to drive directly from point A to Point C.My book says the answer is 5 miles. How did they come up with the answer? Answered by Robert Dawson.
	Two overlapping circles		2010-08-04
		From Husen: two circles of radius 5 cm intersect each other .the distance between their centers is 5root 2.find the area of the portion common to the two circles Answered by Penny Nom.
	The equation of a circle		2010-06-23
		From Michelle: Write and equation for the circle with a center, (0,0) and a diameter of 12 Answered by Penny Nom.
	The height of a triangle		2010-06-21
		From Taylor: how do i find the height of a triangle with a base of 3 and a side of 5 the book says 4 but i cant get that Answered by Penny Nom.
	A square inscribed in a circle		2010-05-25
		From Middle: what is the perimeter of a square inscribed in a circle of radius 5.0 inches? Answered by Penny Nom.
	How far is the runner from the starting point?		2010-05-22
		From Richard: A marathon runner runs 6 miles south and then 8 miles east. How far is the runner from the starting point? Answered by Tyler Wood.
	How far am I from the starting point?		2010-05-18
		From jilayna: if i walk 5 miles north, 7 miles east, and 3 miles north again.to the nearest tenth of a mile ,how far,in a straight line, am i from my starting point Answered by Penny Nom.
	A ladder against a wall		2010-03-25
		From amber: the distance from the bottom of the ladder to the building is18 foot less than the length of the ladder.How high up the building is the top of the ladder if that distance is 1 ft less than the length of the ladder? Answered by Penny Nom.
	The hypotenuse		2010-02-27
		From Dannielle: how do you find the hypotenuse if a=8 and b=6? Answered by Penny Nom.
	A 25 foot ladder reaches a window 20 feet high		2010-02-27
		From Tanner: a 25 foot ladder reaches a window 20 feet high. how far is the ladder from the building? how far must the foot of the ladder be moved to lower the top of the ladder by four feet? Answered by Tyler Wood.
	The center of a rectangular room		2010-02-16
		From Diana: Consider a rectangular room, 15 feet wide, 30 feet long and 12 feet high. What is the exact distance from any of the 8 corners of the room and its geometric center? Can you write a generic formula for such a distance? And if we keep the same proportions on all dimensions, can you write an expression for the same distance as a function of the floor perimeter? Answered by Penny Nom.
	Loading a headboard in a uhaul		2010-01-20
		From gina: I have a uhaul 9'10" long 4"9"wide 4'7"height I have a headboard 74 inches in height would it fit the box diagonally Answered by Penny Nom.
	How high up the building does the ladder reach?		2010-01-19
		From rosenda: A 10 meter ladder is 6 meter from the base of a building. How high up the building does the ladder reach? Answered by Robert Dawson.
	Related Rates Problem		2010-01-12
		From Neven: A woman raises a bucket of cement to a platform 40 ft above her head by means of a rope 80 ft long that passes over a pulley on the platform. If she holds her end of the rope firmly at head level and walks away at 5ft/s, how fast is the bucket rising when she is 30 ft away from the spot directly below the pulley? (G. F. Simmons, Calculus with Analytic Geometry, pg.142) Answered by Penny Nom.
	A right-angled triangle		2009-10-02
		From Hunter: The three sides of a right-angled triangle measure x-1, x+6, and 2x+1 in length. What are the possible lengths of the hypotenuse? Answered by Penny Nom and Melanie Tyrer.
	A ladder leaning against a wall		2009-09-08
		From Mackenzie: A 7 foot long ladder is leaning against the building. The foot of the ladder is 2 feet from the base of the building. How far up the wall is the top of the ladder? Answered by Stephen La Rocque.
	A walkway through a park		2009-03-07
		From felicia: a diagonal walkway through a park is 18 meters long. If the park is a square, how long is one of its sides to the nearest tenth of a meter? Answered by Penny Nom.
	An octagonal landscaping frame		2009-03-01
		From Richard: Hi I am trying to put landscape timbers down in octagon shape that measures 6 feet across and outside measures 360 degrees.. The timbers are 4 inches by 4 inches. I need to know at what angle to cut boards and at what length i need to complete octagon. Thanking you in advance for your kind assistance. Richard :) Answered by Harley Weston.
	The floor area in a spherical space station		2009-02-14
		From Ed: I am writing a science fiction novel that involves a spherical space station with a radius of 800 meters. Inside, artificial gravity allows parallel floors set 4 meters apart. If you count the floor that has a radius of 800 meters as Floor 0, then the next floor up (Floor +1) would by 4 meters above the surface of Floor 0. There would then be Floor -1 4 meters down from Floor 0. This would continue until you reach the top or bottom floor, where there is at least 4 meters but less than 8 meters to the top or bottom of the sphere. Obviously the top and bottom floors would have the (same) smallest area, while Floor 0 would have about 2 million square feet. My problem is figuring out the total area of all of the floors, or for that matter, any particular floors or the total number of floors (the total of all the + floors, the - floors (these numbers will be the same) plus Floor 0. Ed Answered by Penny Nom.
	How far is the airplane from the control tower?		2009-01-17
		From Murtaza: An aircraft is vertically above a point which is 10 km west and 15 km north of a control tower. The aircraft is 4000 m above the ground, how far is it from the control tower? Answered by Penny Nom.
	Insulation in an attic		2008-11-18
		From Scott: A homeowner wishes to insulate her attic with fiberglass insulation to conserve energy. The insulation comes in 40-cm-wide rolls that are cut to fit between the rafters in the attic. If the roof is 6 m from peak to eave and the attic space is 2 m high at the peak, how long does each of the pieces of insulation need to be? Round to the nearest tenth. Answered by Harley Weston.
	A right triangle		2008-09-25
		From john: a right triangle has hypotenuse wich measures 20cm and a perimeter 47cm. find the measure of the remaining two sides Answered by Harley Weston.
	The perimeter of an equilateral triangle		2008-09-11
		From Gerry: How can I find the perimeter (length of side) of an equilateral triangle if the only information I have is the altitude? Answered by Penny Nom.
	A square with diagonal 200 metres		2008-08-20
		From kelvin: find the are and perimeter of a square with diagonal of 200 meters? Answered by Penny Nom.
	The length of a side of a square		2008-07-27
		From FRANK: WHAT IS THE LENGTH OF ONE SIDE OF A SQUARE WITH A DIAGONAL OF LENGTH 2 TO THE HALF POWER Answered by Stephen La Rocque.
	How far away is the horizon?		2008-06-13
		From Ali: A plane is 10km above the earths surface, and you want to know how far away the horizon is, you know that the radius of the earth is about 6400km, how far away is the horizon along the earth's curved surface. My teacher has drawn a diagram; a circle representing the earth with one vertex at the center of the earth, another vertex outside the cirlce representing the plane (the distance between the earth and plane is 10km) and the last one is on the circle representing the horizon. Could you please explain how I would solve this problem, thanks! Answered by Penny Nom.
	What is the length of the 3rd side?		2008-05-23
		From lee: If you have a triangle 12ft across the bottom then on the right is a 90 degree angle and that side is 18ft tall. What is the length of the 3rd side? Answered by Penny Nom.
	A right angled triangle		2008-05-16
		From bryan: The sides of a right angled triangle are x, x+1, x+2 cm. Find the perimeter. Answered by Penny Nom.
	Find the length and the width of the rectangle		2008-04-24
		From Vickie: A rectangle is 2 times longer than it is wide. It has a diagonal length of 50 centimeters. Find the length and the width of the rectangle. Round your answers to the nearest tenth. Show your work. Answered by Penny Nom.
	A 30-60-90 triangle		2008-04-16
		From Ron: 30-60-90 triangle. Base is 2.75 how do I find the length of the other two sides? Answered by Penny Nom.
	How far is she from her starting point?		2008-03-30
		From Nancy: A child runs due east for 23.5m and then she runs 10.5m due south. How far is she from her starting point? Answered by Stephen La Rocque.
	The area of a right triangle		2008-03-19
		From Tate: I need to find the area of a right triangle. I already know that the formula would be a squared + b squared = c squared. However, I only have the length of the hypotenuse and the base. Answered by Victoria West.
	The diagonal of a rectangle		2008-02-21
		From tim: is there a formula for finding the diagonal of a rectangle? Answered by Penny Nom.
	A triangle and a rectangle		2007-12-14
		From Someone: A certain triangle has sides that are, respectively, 6inches, 8inches, and 10 inches. A rectangle with a n area equal to that of the triangle has a width of 3 inches. What is the perimeter of the rectangle, in inches. Answered by Penny Nom.
	A wiffleball field		2007-10-31
		From Svitlana: The Adam's family has set up a wiffleball field in their backyard. The bases are arranged like a typical baseball diamond, where the distance between consecutive bases is the same. First base is opposite of third base, and second base is opposite of home plate. The distance between consecutive bases is 50 feet. Now, the pitcher stands 25 feet from home plate and lies on the line between home plate and second base. How far is the pitcher from first base? Round your answer down to the nearest inch. Answered by Penny Nom.
	How to solve related rates problems		2007-10-27
		From David: Can you plz explain how and where you come up with an equation to solve this? Find the rate of change of the distance between the origin and a moving point on the graph of y = sin x if dx/dt = 2 centimeters per second. Answered by Stephen La Rocque.
	Finding radius given chord length and distance to center		2007-10-04
		From Venus: a chord of 48mm long is 7mm from the center of the circle. What is the radius of the circle? Answered by Stephen La Rocque.
	Building a garage		2007-07-29
		From charles: I want to build a garage that is 24 feet 4 inches wide by 50 feet long. can you please tell me what the length of one corner is to the other? Answered by Penny Nom.
	Some trig problems		2007-07-20
		From Jocelyn: I wasn't able to solve this equation: only find the function using Pythagorean theorem Please help me.... sinA = 3/4 find secB tanA = 3/4 find cosA sinB = 4/5 find tan A cosA = 5 find csc A b =5; a= 12 find sin A c =25; a = 24 find cot A a = 6; c =10 find b? Find B when c = 25; a = 24 Find A when a = 5 and b = 12 csc = 1/2 find cos Answered by Penny Nom.
	An oblique triangle		2007-07-19
		From fhay: In an oblique triangle, If side a=95, side b=102 and side c = 150 find the missing angles solved by right angles...Thank's a lot...... Answered by Penny Nom.
	A circle inside a square		2007-05-31
		From Mer: there is a circle inside a square... there is a shaded rectangle that measures 5mm X 10mm and they want to know what the radius is. The edge of the shaded rectangle touches a point on the circle. Answered by Penny Nom.
	A point on a semicircle		2007-05-28
		From arun: a semi circle is drawn with ab as diameter from p a point on ab a line perpendicular to ab is drawn meeting circumference of semi circle at c, ac = 2cm, cd = 6cm find area of the semi circle? Answered by Penny Nom.
	How far apart are the cars?		2007-04-07
		From ian: 2 cars set off in opposite directions and travel for 6 miles, they both take a left turn, and travel for a further 8 miles........... how far apart are the cars??? a) 10 miles b) 22 miles c) 20 miles d) 18 miles Answered by Penny Nom.
	a^2 + b^2 = c^2		2007-03-04
		From Colburn: 27 feet long base 14 feet height what is the diagonal Answered by Stephen La Rocque.
	Line segments on dot paper		2007-01-21
		From Khaori: The three line segments below are drawn on centimeter dot paper. a. Find the length of each segment to the nearest ten-thousandth of a centimeter. b. Could these line segments be arranged to form a triangle? If no, explain why or why not. If yes, answer this question: could they form a right triangle? Explain why or why not. Answered by Penny Nom.
	A rhombus		2006-12-26
		From Jose: show mathematically that a quadrilateral whose vertices are A(2,1),B(6,-2) C(10,1),and D(6,4) is a rhombus Answered by Penny Nom.
	The height of a triangle as a function		2006-10-19
		From Ryan: Let 2s denote the length of the side of an equilateral triangle. Express the height of the triangle as a function of s Answered by Penny Nom.
	A triangle problem		2006-05-18
		From Jim: Right angle triangle with a hypotenuse of 20 units. Square inside the triangle with sides of 4 units, the square shares two sides with both legs of the triangle, and the corner touches the hypotenuse limiting the triangles size. Answered by Penny Nom.
	Constructing a fence		2005-08-09
		From Andres: I was constructing my fence and was having some problems trying to do a perfect (or as close as possible) arch. If i know a section of a fence is for example 85 inches wide and I want a 4 inch rise from the top rail how do i figure out the radius? Answered by Penny Nom.
	Practical applications: parabolas and Pythagoras		2004-10-24
		From Connie: Provide two examples of real life objects that incorporate parabolic shapes. Explain the reason why the parabolic shape was used in each object. I need at least one practical application of the Pythagorean Theorem. Answered by Penny Nom.
	Pythagoras in everyday life		2004-10-13
		From Tiffany: I was wondering if you have any real-life uses of the pythagorean theorem that you use in your everyday life. Answered by Penny Nom.
	The area of a lot		2004-09-29
		From Deb: I am trying to figure out how many square feet are in a piece of property. Start at Point A-then go 140 feet north-then 100 feet due east-then 300 feet at an angle southeast so that connecting to point A would be a straight line (right angle to first line north.) Answered by Penny Nom.
	The length of a cut		2004-09-17
		From Florita: My daughhter, who is a 9th grader is attempting to cut a piece of wood after determining the length of the cut for the hypotenuse. These are the measures: a=4squared, b=6squared. She determined that c should equal 52. But when she measured the actual piece to be cut, c measured 39.5 inches! Can you offer any insight as to what she is doing wrong? I have suggested that she may be working with an Acute rather than a Right angle . But she insists that it is a Right angle after using a "framing square". Answered by Claude Tardif.
	A cube is inscribed inside a sphere		2004-08-18
		From A student: A cube is inscribed inside a sphere with radius sqrt8cm. Find the (a) length of the cube (b) volume of the space inside the sphere but outside the cube. Answered by Penny Nom.
	An Octagonal playhouse		2004-07-13
		From Levi: I'm building an octagon playhouse for my son that is 8 feet wide. what would be the measurements of each of the eight sides. Answered by Harley Weston.
	How far apart are they?		2004-05-23
		From A student: 2 cars start at same loc. drive opposite direction for 6 miles then they each turn left and travel for 8 miles how far apart are they? Answered by Penny Nom.
	Bundles of asphalt shingles		2004-01-24
		From Larry: According to my study material 4:12 multiplying factor for shingles is 1.054. The question reads as follows: A building with a floor plan of 3350 sq. ft. and a roof slope of 4:12 will require _______ bundles of standard asphalt shingles. Answered by Harley Weston.
	The volume of a cube		2003-11-22
		From A student: i have a cube, and the line that cuts threough the middle of the cube across to the other side is 4 radical6. what is the volume of the cube? Answered by Penny Nom.
	A rectangle on a disk		2003-10-29
		From Arthur: How do I go about solving the following problem: What is the width of the largest rectangle with a length of 16 inches you can cut from a circular piece of cardboard having a 10 inch radius? Answered by Penny Nom.
	The general equation for a sphere		2003-09-11
		From Jaidev: Is there any general equation for a sphere? Answered by Penny Nom.
	Two cars		2003-07-09
		From Nicole: Two cars start off at the same point on a striaght highway facing opposite directions. Each car drives 6 miles, talkes a left turn, and drives for 8 miles. How far apart are the two cars. Answered by Penny Nom.
	The height of an equilateral triangle		2003-04-06
		From Rosa: If Each side of an equilateral triangle is 10 m. What is the height? Answered by Penny Nom.
	A triangle and a circle		2003-03-21
		From Jynks: We need a formula that we can use to figure this out for work. We aren't math wiz's or students. Basically we know 3 points in space of a triangle, we know the length of each side and the length of the line from apex to base line. Each point of the base line ends upon the circumference of a circle. IS three a way to work out the radius of that circle. Answered by Penny Nom.
	The height of a triangle		2002-11-29
		From Dean: Could you please tell me the formular for me to calculate the height of a triangle. I have the angles and side lengths. I am trying to calculate the height of an isosceles triangle, does this make a difference from a normal triangle or is the formular the same. Answered by Penny Nom.
	Pythagoras in three dimensions		2002-10-14
		From Miki: A room is 6m long, 5m wide and 3 m high. Find the distance from the corner of the floor to the opposite corner of the celing. Answered by Peny Nom.
	Bob swam across a river		2002-05-22
		From Torri: Bob swam across a river 420 ft wide. A strong current carried him 580ft downstream as he swam. Find x, the distance bob actually swam. Answered by Penny Nom.
	An octagon-shaped deck		2002-02-20
		From An instructor: How can you solve for finding the side measurements of an octagon-shaped deck that is 10 feet long and 10 feet wide. Answered by Penny Nom.
	The hypotenuse of a right triangle		2001-01-22
		From Phillipe: How do you find the hypotenuse of a right triangle? Answered by Penny Nom.
	Two geometry problems		2000-09-09
		From Becky: What are all the real values of x that are solutions for the inequality [x-2] < 6? ( it's less than or equal to) What is the distance between the points with (x,y) coordinates (3,-2) and (-3,-1)? Answered by Peny Nom.
	Triangles, The Pythagorean Theorem and Pizzas.		1997-02-23
		From Sherryle Mathis: I am a graduating senior presently teaching geometry as part of my student teaching. I will do my CUP on Right Triangles and Pythagorean theorem. I am looking for a fun activity as part of my unit plan. Answered by Walter Whiteley.

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