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

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) (Show Source): You can put this solution on YOUR website!
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.
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