SnowFlake1902
35

# I need help with this problem! I Don't know how to solve this problem! Please help me.

so.. notice the ratios there, those ratios are good, when the triangle is made up of, two 45 degree angles,  and one 90 thus is called a 45-45-90 angle the two legs are the same length and the hypotenuse, or longest leg,  whatever the others are, times square root of 2 so.. one could say that $\bf 16=x\sqrt{2}\implies \cfrac{16}{\sqrt{2}}=x \\ \quad \\ \textit{now, we could rationalize that by} \\ \quad \\ \cfrac{16}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}=x\implies \cfrac{16\sqrt{2}}{(\sqrt{2})^2}=x\implies \cfrac{16\sqrt{2}}{2}=x\implies 8\sqrt{2}=x$