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The Pythagorean theorem tells us that [tex]a^2+b^2=c^2[/tex], where a and b are the legs of a right triangle. If the length of each leg is x, we know by applying the theorem that [tex]x^2+x^2=c^2[/tex], so [tex]2x^2=c^2[/tex]. Applying the square root on both sides we get [tex]x\sqrt{2} = c[/tex]
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