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 [tex]\bf 16=x\sqrt{2}\implies \cfrac{16}{\sqrt{2}}=x
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\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[/tex]
