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.

Step-by-step 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 =
`(bh)/(2)`

A = (15 × 8) ÷ 2

A = 30

PERIMETER:

P = a + b + c

P = 8 + 15 + 17

P = 40