Question

The area of a right triangle is 270 square meters. The height of the right triangle is 15 meters. What is the length of the hypotenuse of the right triangle? Enter your answer in the box.

Answer 1

39, i took the quiz

Explanation:

Answer 2

First we need to calculate the length of the base of the triangle.

So now that we know that the area of a triangle can be calculated by the formular A = hb/2, we can also calculate the length of the base as following:

A = hb/2

=> 270 = 15b/2

=> 15b = 270 . 2

=> 15b = 540

=> b = 540/15 = 36 (m)

Now we have the lengths of the shorter and the longer legs of the right triangle, we can use Pythagorean theorem to calculate the length of the hypotenuse: √(15² + 36²) = √(225 + 1296) = √1521 = 39 (m)