The area of a right triangle is 270 m². The height of the right triangle is 15 m. What is the length of the hypotenuse of the right triangle?

Respuesta :

The area of a triangle is calculated by the expression given as:

Area = bh/2

where b is the base and h is the height.

We calculate as follows:

270 = b (15) / 2
b = 36

hypotenuse = sqrt ( 15^2 + 36^2 ) = 39

Answer:

hypotenuse = 39m

Step-by-step explanation:

Area of a triangle= 1/2 * base * height

where base = ?

        height = 15

Plugin values into the formula:

270 = 1/2 base (15)

base = 270 (2)

               15

base = 36

hypotenuse = √(base² + height²)

                    = √( 36² + 15² )

                    = 39