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 $\sqrt{10}$

Now, the hypotenuse, y, is the same as any leg times $\sqrt{2}$

So we do $\sqrt{10}$ * $\sqrt{2}$ which is $\sqrt{20}$.

Now we need to simplify that.

$\sqrt{20}$ is the same as $\sqrt{4 * 5}$ which is $\sqrt{2*2*5}$ which is $2\sqrt{5}$

Hope this helps! :DD