Question

Find the value of x make sure to write your answer in simplest form

Answer 1

x = 9

Explanation:

This is a 45 45 90 triangle.

Answer 2

x = 9

Explanation:

This is a special right triangle ( 45 - 45 - 90 )

In a 45 - 45 - 90 degree triangle the hypotenuse is equal to the measure of the leg times √2 and the measure of the leg is equal to the hypotenuse divided by √2

The given measure of the hypotenuse is 9√2 and x is a leg

Thus x =
`(9√(2) )/(√(2) )` = 9