Question 1097038: The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse.
24 and 32
Found 2 solutions by jorel1380, MathTherapy: Answer by jorel1380(3719) (Show Source): Answer by MathTherapy(10555) (Show Source):
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The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse.
24 and 32
Since it's a 3-4-5 Pythag triple, we find the GCF of 24 and 32. That's 8.
When divided by 8, we get: 
Therefore, the 3rd or longest side, or 5 (hypotenuse), must be MULTIPLIED by 8 to get:
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