Question 423137: How would I use the Pythagorean theorem to determine if given measures could be sides of a right triangle? (eg. 12,34,37)
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! How would I use the Pythagorean theorem to determine if given measures could be sides of a right triangle? (eg. 12,34,37)
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The hypotenuse would have to be the longest side.
Pythagoras:
hypotenuse^2 = leg1^2 + leg2^2
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Check:
37^2 = 12^2 + 34^2
1369 = 144 + 1156
1369 = 1300
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False; so the measures could not be the sides
of a right triangle.
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Cheers,
Stan H.
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Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Given lengths a, b, and c, they will form a right triangle only if  . So to determine if those lengths form a right triangle, simply verify that 
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