The leg and hypotenuse of a right triangle are 6 cm and 10 cm, respectively. Find the radius of the inscribed circle.

univerkov | December 29, 2020 | education

Write down the formula for finding the area of a triangle.
S = P * r / 2 and S = a * b / 2
Note that this triangle is Egyptian and the second leg is 8. Then S = 6 * 8/2 = 24.
Find P = 6 + 8 + 10 = 24
Let us express r:
r = 2S / P = 48/24 = 2.
Answer r = 2

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