-For the right triangle with sides of lengths 5 in, 12 in, and 13 in, find the length of the radius of the inscribed circle.
A) 2 inches
B) 2.5 inches
C) 3 inches
D) 3.5 inches

Question

-For the right triangle with sides of lengths 5 in, 12 in, and 13 in, find the length of the radius of the inscribed circle.
A) 2 inches 
B) 2.5 inches 
C) 3 inches 
D) 3.5 inches

Quizplus · Accepted Answer

The radius of the inscribed circle in a right triangle can be found using the formula $r = \frac{a + b - c}{2}$, where $a$ and $b$ are the legs of the triangle and $c$ is the hypotenuse. For this triangle, $a = 5$, $b = 12$, and $c = 13$, so $r = \frac{5 + 12 - 13}{2} = 2$ inches.

-For the Right Triangle with Sides of Lengths 5 In