Answer:
C. 49.5 in
Step-by-step explanation:
The perimeter of the triangle is the sum of all sides.
First, find the hypotenuse [tex]c[/tex] of the right triangle with legs 8 in and 15 in. By the Pythagorean theorem,
[tex]c^2=8^2+15^2\\ \\c^2=64+225\\ \\c^2 =289\\ \\c=17\ in[/tex]
Now, find the perimeter of the shaded triangle:
[tex]P=17+5+27.5\\ \\P=49.5\ in[/tex]
