SOLUTION: A right triangle has a hypotenuse length of 12, and one side length of 9. Find the missing side length. Do the side lengths form a Pythagorean triple?

Question 823325: A right triangle has a hypotenuse length of 12, and one side length of 9. Find the missing side length. Do the side lengths form a Pythagorean triple?
Found 3 solutions by Alan3354, erica65404, stanbon:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A right triangle has a hypotenuse length of 12, and one side length of 9. Find the missing side length. Do the side lengths form a Pythagorean triple?
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Use the Pythagoream Theorem, then you'll know.
Answer by erica65404(394)   (Show Source): You can put this solution on YOUR website!
We will use

This is not a Pythagorean triple. An example is 3 4 5 where 5 is the hypotenuse. The length we found is not a positive whole number. It is a decimal so we know it can't be a triple.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A right triangle has a hypotenuse length of 12, and one side length of 9. Find the missing side length. Do the side lengths form a Pythagorean triple?
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Pythagoras only refers to Pythagorean triples.
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Let the missing side be "x":
x^2 + 9^2 = 12^2
x^2 = 144-81
x^2 = 63
x = 3sqrt(7)
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Cheers,
Stan H.
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