SOLUTION: the length of the legs of a right triangle are given. Find the hypotenuse. a=24, b=45 and c=?

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Question 469399: the length of the legs of a right triangle are given. Find the hypotenuse. a=24, b=45 and c=?

Found 2 solutions by Lexy2ola, algebrahouse.com:
Answer by Lexy2ola(5) About Me  (Show Source):
Answer by algebrahouse.com(1659) About Me  (Show Source):
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the length of the legs of a right triangle are given. Find the hypotenuse. a=24, b=45 and c=?

Pythagorean Theorem
a² + b² = c² {a and b are the legs and c is the hypotenuse}
24² + 45² = c² {substituted given information into Pythagorean Theorem}
576 + 2,025 = c² {squared 24 and 45}
2,601 = c² {added on left side}
c = 51 {took square root of both sides}

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