SOLUTION: How Could You Determine If The Following Measures are The Length Of A Right Triangle? The Measures Are 15in , 8in , 17in Explain And Show Any Work You Did To Determine If the Mea

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Question 545329: How Could You Determine If The Following Measures are The Length Of A Right Triangle? The Measures Are 15in , 8in , 17in
Explain And Show Any Work You Did To Determine If the Measures Are That Of A Right Triangle
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem:
For any right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the two legs.
c%5E2+=+a%5E2%2Bb%5E2 c = the hypotenuse and a and b are the two legs.
In this problem, c = 17, a = 8 and b = 15.
17%5E2+=+289
8%5E2%2B15%5E2+=+64%2B225+=+289
So the three given sides make a right triangle.