Subject: geometry problems involving triangles
Who is asking: Student
Question: Find the radius of the largest circle contained in a right triangle whose legs are 8 and 15 and hypotenuse is 17. If the right triangle has legs a and b and hypotenuse c, find an expression for the radius of the circle.
Hint: use the area of a triangle (Area = 1/2bh)
The triangle inequality guarantees that the sum of the lengths of two sides of a triangle is greater than the length of the third. As a consequence, if x and y are the legs of a right triangle, with x less than or equal to y, and z the hypotenuse, then x + y is greater than z, so x is greater than z - y. UNDER WHAT CIRCUMSTANCES WILL x is greater than 2(z - y) be true?
THANK YOU VERY MUCH FOR YOUR HELP.Hi Sandi,
Let triangle ABC be the right triangle with |AB| = 15, |BC| = 8 and |CA| = 17. In the diagram below the largest circle contained in the triangle has center O.