Question

Please help me

This is a 45-45-90 triangle.
What is the measure of x?
X
х
X
= V[?]

Answer 1

x =
`√(3)`

Explanation:

the ratio of side to hypotenuse in a right triangle is 1 :
`√(2)`

in this problem we can use 'x' in place of 1 and
`√(6)` in place of
`√(2)` to create a proportion like this:

1/x =
`√(2)`/
`√(6)`

cross-multiply to get:

`√(2)`·x =
`√(6)`

x =
`(√(6))/(√(2))`

x =
`√(3)`