Question

Find the leg of an isosceles right triangle when the hypotenuse measures 8

Answer 1

4
`√(2)`

Explanation:

ratio of leg to hypotenuse in a 45-45-90° triangle is 1 :
`√(2)`

we can use this proportion to solve the problem:

let 'x' = leg

x/8 = 1/
`√(2)`

cross-multiply:

`√(2)` x = 8

x = 8 /
`√(2)`

if you multiply top and bottom by
`√(2)` you will get 4
`√(2)`