Question

The area of a right traingle is 270 square meters. The height of the right triangle is 15 meters. The length of the hypotenuse of the right triangle is __ meters

Answer 1

Answer:

The length of the hypotenuse of the triangle is 39 meters.

Step by step explanation:

Area = 270 m^2

h = 15 m

Triangle area

$A\text{ = }\frac{b\cdot h}{2}$

Replace

$270\text{ = }\frac{b\cdot\text{ 15}}{2}$

Then we solve the equation.

$270\cdot2\text{ = b}\cdot15$$540\text{ = b}\cdot15$$b\text{ = }\frac{540}{15}\text{ = 36}$

Then we solve it by the Pythagorean theorem.

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

a = 15

b = 36

c = x

$15^2+36^2=x^2$$x\text{ = }\sqrt[]{15^2+36^2}\text{ = }\sqrt[]{1521}$$X\text{ = 39}$