SOLUTION: the hypotenuse of a right triangle is 40 meters long, and one of its legs is 18 meters long what is the length of the other leg?

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Question 817337: the hypotenuse of a right triangle is 40 meters long, and one of its legs is 18 meters long what is the length of the other leg?
Found 2 solutions by TimothyLamb, algebrahouse.com:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
h = sqrt( aa + bb )
40 = sqrt( 18*18 + bb )
40^2 = 18^2 + b^2
b^2 = 1276
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b = 35.72 m
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Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
a² + b² = c² {Pythagorean Theorem}
a and b are the legs and c is the hypotenuse

18² + b² = 40² {substituted into Pythagorean Theorem}
324 + b² = 1600 {evaluated exponents}
b² = 1276 {subtracted 324 from each side
b ≈ 35.72 {took square root of each side and rounded}

the other leg is approximately 35.72 meters

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