Question

Special right triangles


Find the value of each missing variable

Answer 1

Hey!

Since they are 45-45-90 triangles, the two legs are equal.

Therefore x is
`√(10)`

Now, the hypotenuse, y, is the same as any leg times
`√(2)`

So we do
`√(10)` *
`√(2)` which is
`√(20)`.

Now we need to simplify that.

`√(20)` is the same as
`√(4 * 5)` which is
`√(2*2*5)` which is
`2√(5)`

Hope this helps! :DD