SOLUTION: For a right triangle that has a and b and hypotenuse c, find th lenght of the side not given here. a=10 b=24

Algebra ->  Pythagorean-theorem -> SOLUTION: For a right triangle that has a and b and hypotenuse c, find th lenght of the side not given here. a=10 b=24      Log On


   



Question 32027: For a right triangle that has a and b and hypotenuse c, find th lenght of the side not given here.
a=10
b=24

Answer by mbarugel(146) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
The Pythagorean Theorem states that for a right triangle with sides a and b, and hypotenuse c, the following equation must hold:
a%5E2%2Bb%5E2=c%5E2
Therefore, since a=10 and b=24,
10%5E2%2B24%5E2=c%5E2
100+%2B+576+=+c%5E2
676+=+c%5E2
sqrt%28676%29=c
26+=+c
So the length of the side not given here (the hypotenuse) is 26.

I hope this helps!
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