
Nora B.
asked 05/28/19The Theorem of Pythagoras Question
A right-angled triangle has shorter side lengths exactly a^2-b^2a and 2ab units respectively, where aa and bb are positive real numbers such that aa is greater than bb. Find an exact expression for the length of the hypotenuse (in appropriate units).
1 Expert Answer
Your question isn't stated clearly, but if you mean
one leg is a2-b2 and the other leg is 2ab, then the hypotenuse is
sqrt[a4 - 2a2b2 + b4 - 4a2b2] = a2 + b2
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Mark H.
This is confusing as written. It looks like "a" and "b" are supposed to be variables referring to the length of the sides. If so, then what are "aa" and "bb"?05/28/19