Question

I'm confused on how to find x​

Answer 1

x = 2

Explanation:

Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be
`\sqrt2`.

We can then solve for x using the Pythagorean theorem:

`\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2`

Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be
`\sqrt2` times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.