Question

Find the area.

A. 178.5 in2
B. 85 in2
C. 84 in2
D. 105 in2

***SHOW WORK***

Answer 1

C) 84 in^2

Explanation:

Find the area of each triangle, than add them together.

First, you'll need to find the height, illustrated by the dotted line. Since it is a right triangle use

`a^(2) +b^(2) =c^(2) \\15^(2) +b^(2) =17^(2)\\b^(2)=17^(2)-15^(2)\\b=8`

Use this height for your area of each triangle

`A=h(b)/(2) \\A=8(15)/(2) \\A=60\\\\\\A=8(6)/(2) \\A=24`

Now add both together 60+24