SOLUTION: Could the set of numbers be the measures of the sides of a right triangle: 5, 12, 13? (Prove your answer using Pythagorean Theorem, a2+b2=c2)

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Question 1010145: Could the set of numbers be the measures of the sides of a right triangle: 5, 12, 13? (Prove your answer using Pythagorean Theorem, a2+b2=c2)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Longest side would be the hypotenuse.

5%5E2%2B12%5E2=13%5E2
True or false?

169=169
TRUE.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Could the set of numbers be the measures of the sides of a right triangle: 5, 12, 13? (Prove your answer using Pythagorean Theorem, a2+b2=c2)
5-12-13 is one of a few SPECIAL RIGHT TRIANGLES. To prove it, use pythag, but remember that 13, the longest side, is the hypotenuse (c).