Mathematics
SnowFlake1902
35

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

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(2) Answers
funguy123

You would do: 2x^2 = 16^2 X^2 = 128 X = 8 root2

dani2001

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 [latex]\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[/latex]

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