SOLUTION: A triangle has two 13-cm sides and a 10-cm side. The largest circle that fits inside this triangle meets each side at a point of tangency. These points of tangency divide the sides

Algebra.Com
Question 1158199: A triangle has two 13-cm sides and a 10-cm side. The largest circle that fits inside this triangle meets each side at a point of tangency. These points of tangency divide the sides of the triangle into segments of what lengths? What is the radius of the circle?
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

radius-circle-inscribed-isosceles-triangle.png


If the base length of the isosceles triangle is and the two legs are then prove that the radius of the inscribed circle is given by formula:



if and , we have















RELATED QUESTIONS

A triangle has two 13-in sides and a 10-in side. The largest circle that fits inside this (answered by Charles3475)
a triangle has sides of 5 cm, 12 cm, and 13 cm. The altitude drawn to the 13 cm side cuts (answered by lynnlo)
What is the radius of the largest circle that will fit inside a triangle that has two... (answered by ikleyn)
A triangle has side lengths 6 cm, 10 cm, 13 cm. What are the side lengths of a similar... (answered by Gogonati)
Two sides of a triangle measure 10 cm and 5 cm. What is the smallest integer the third... (answered by josgarithmetic)
10. If the sides of a triangle are 13, 14, and 15 cm long, then the altitude drawn to the (answered by jim_thompson5910)
Equilateral triangle ABC has sides of 16 cm. A circle of radius 4 cm inside it is tangent (answered by greenestamps,josgarithmetic)
If two sides of a triangle are 32 cm and 20 cm, can the third side be 10... (answered by josmiceli)
Equilateral triangle ABC has sides of 22 cm. A circle of radius 5 cm inside it is tangent (answered by greenestamps)