SOLUTION: 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

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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): You can put this solution on YOUR website!
If the two sides are legs of the triangle, then 24²+32²=576+1024=1600
√1600=40 as the length of the hypotenuse
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Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

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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