Question

The length of a leg of an isosceles right triangle is `5sqrt2` units. What is the length of the hypotenuse?

Answer 1

hypotenuse = 10

Explanation:

You are given the leg length of one side, so you are basically given both leg lengths because an isosceles right triangle has two equal leg lengths:

`5sqrt2`

In order to find the hypotenuse you need to do
`a^2 +b^2 =c^2`

`a` = leg length 1
`b` = leg length 2
`c` = hypotenuse

`(5sqrt2)^2 + (5sqrt2)^2 = c^2`
`(25*2) +(25*2) = c^2`
`50+50 = c^2`
`100=c^2`
`sqrt100 = sqrt(c^2)`
`10 = c`
hypotenuse = 10