Answer:
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)
