This problem is describing a triangle that looks like this: We know that if we sum the squares of the legs, we find the square of the hypotenuse. We said that earlier, in that sentence you reread 37 times. Therefore, *x*^{2} + *x*^{2} = 30^{2}
or 2*x*^{2} = 900. From this point onward, it's kid's stuff. We divide each side by 2 to find *x*^{2} = 450 and see that Since we're talking about a triangle here, we can't have a side with a negative length. As screwy as our system of measurement is compared to the metric system, at least there is no such thing as negative inches, even if a British person (hi, guys!) tries to imply that there is. We determine that a leg of this triangle must have length . |