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 [tex]x\sqrt{2}[/tex] 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=[tex]x\sqrt{2}[/tex]. Simplify to get x=[tex]3\sqrt{2}[/tex]. So, the length of n and m should both be [tex]3\sqrt{2}[/tex].
