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5 votes
Find the perimeter of the shaded triangle.

A. 55.5 in

B. 40 in

C. 49.5 in

D. 50.5 in

Find the perimeter of the shaded triangle. A. 55.5 in B. 40 in C. 49.5 in D. 50.5 in-example-1

1 Answer

4 votes

Answer:

C. 49.5 in

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

User Mridul Bagla
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