Question

What is the length of the hypotenuse of the triangle?

Answer 1

15^2 + 8^2 = 225 + 64 = 289

square root 289 = 17

answer

length of the hypotenuse of the triangle = 17 cm (3rd choice)

Answer 2

length of the hypotenuse = 17 cm

Explanation:

To find the length of the hypotenuse of any triangle we use pythagorean theorem

`c^2 = a^2 + b^2`

Where c is the hypotenuse

a and b are the legs of the triangle

Given : a= 8 cm, and b= 15 cm

We find hypotenuse C

`c^2 = 15^2 + 8^2`

`c^2 = 225 + 64`

`c^2 = 289`

Take square root on both sides

c= 17

So length of the hypotenuse = 17 cm