SOLUTION: prove that right angle triangle hypotenuse side length is always longer

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Question 493573: prove that right angle triangle hypotenuse side length is always longer
Answer by richard1234(7193) About Me  (Show Source):
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To prove that the hypotenuse is the longest side of a right triangle, we use the Pythagorean theorem



and the fact that implies (sometimes called the "trivial" inequality).

If you are not allowed to use the Pythagorean theorem, use the law of cosines and claim that the Pythagorean theorem is a special case of the law of cosines.