Subject: geometry problems involving triangles Name: Sandi
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. Penny
