Question

How do I solve for n and m using special right triangle rules.

Answer 1

Answer:

Because the triangle is a 45-45-90 triangle, the n and m should be the same lengths. For these types of triangles, the hypotenuse is $x\sqrt{2}$ and the side lengths are x. Because we are given the length of the hypotenuse, we need to find the x-value. The equation should be 6=$x\sqrt{2}$. Simplify to get x=$3\sqrt{2}$. So, the length of n and m should both be $3\sqrt{2}$.