Question

Find the value of each variable
x =
y=

Answer 1

x=9

y=
`9√(2)`

Explanation:

This is a special type of triangle known as a 45-45-90 triangle.

The ratio for the sides of this triangle are x:x:x
`√(2)`

Meaning that the two sides other than the hypotenuse are equal, so in this triangle x=9 because it is not a hypotenuse.

The hypotenuse, however, is the value of one side multiplied by
`√(2)`.

In this case it is 9, so 9*
`√(2)` =
`9√(2)`