Question

Find the perimeter of the shaded triangle.


A. 55.5 in

B. 40 in

C. 49.5 in

D. 50.5 in

Answer 1

Answer:

C. 49.5 in

Step-by-step explanation:

The perimeter of the triangle is the sum of all sides.

First, find the hypotenuse $c$ of the right triangle with legs 8 in and 15 in. By the Pythagorean theorem,

$c^2=8^2+15^2\\ \\c^2=64+225\\ \\c^2 =289\\ \\c=17\ in$

Now, find the perimeter of the shaded triangle:

$P=17+5+27.5\\ \\P=49.5\ in$