Question

A right triangle has leg measures of 8 and 15 inches. What is the area and perimeter of the triangle?

Answer 1

Hello!

Answer

The area of the right triangle is 30 $in^{2}$. The perimeter is 40 in.

Explanation

First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.

$a^{2}$ + $b^{2} = c^{2}$

$8^{2} + 15^{2} = c^{2}$

64 + 225 = $c^{2}$

√289 = $c^{2}$

17 = $c$

Now that we have all the side lengths, we can use the formulas to find the area and perimeter.

AREA:

A = $\frac{bh}{2}$

A = (15 × 8) ÷ 2

A = 30

PERIMETER:

P = a + b + c

P = 8 + 15 + 17

P = 40