Question

Its in the screenshot.

Answer 1

1. 12 inches

2. 36 inches

Step-by-step explanation: Solve for side b using the Pythagorean therom since this is a right triangle.

`a^2+b^2=c^2` - Where c is the largest side aka hypotenuse(if you are unsure, look at the side opposite to the right angle)

Substitute the given values to solve for the unknown side

`9^2+b^2=15^2`

Expand

`81+b^2=225`

Subtract 81 from both sides

`b^2=144`

Which means

`b=+-12`

but since its a triangle in the first quadrant and can only contain positive values, we disregard the negative solution. So b=12.

Lastly, for perimeter, just add all the side lengths together.

`P=9+12+15`

Which means that the perimeter is 36 inches!