SOLUTION: The shortest side of a right triangle measures 7m. the lengths of the other two sides are consecutive integers, the hypotenuse being the longer of the two. find the lengths of the

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Question 1019907: The shortest side of a right triangle measures 7m. the lengths of the other two sides are consecutive integers, the hypotenuse being the longer of the two. find the lengths of the other two sides. Please show all work to find the answer.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
7%5E2%2BN%5E2=%28N%2B1%29%5E2
7%5E2%2BN%5E2=N%5E2%2B2N%2B1
49=2N%2B1
2N=48
N=24
N%2B1=25
7-24-25