SOLUTION: The lengths of the hypotenuse of a right triangle is 27 meters. One of the legs of this triangle has a length of 11sqrt(5) meters. What is the length of the other leg?

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Question 1083174: The lengths of the hypotenuse of a right triangle is 27 meters. One of the legs of this triangle has a length of 11sqrt(5) meters. What is the length of the other leg?
Found 4 solutions by solver91311, addingup, MathTherapy, ikleyn:
Answer by solver91311(24713) About Me  (Show Source):
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It's just arithmetic. Hint: 124 factors to 4 * 31

John

My calculator said it, I believe it, that settles it

Answer by addingup(3677) About Me  (Show Source):
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hypotenuse: c = 27
one leg: a = 11 times the square root of 5. Correct?
other leg: b
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Pythagoras says: a^2 + b^2 = c^2
Since we want to know b, we subtract a^2 from both sides:
a^2 - a^2 + b^2 = c^2 - a^2
This leaves us with:
b^2 = c^2 - a^2
Now use your numbers:
b^2 = 27^2 - 24.6^2
b^2 = 123.84
now take the square root of both sides:
b = 11.13

Answer by MathTherapy(10552) About Me  (Show Source):
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The lengths of the hypotenuse of a right triangle is 27 meters. One of the legs of this triangle has a length of 11sqrt(5) meters. What is the length of the other leg?
Correct answer: Other leg: highlight_green%28matrix%281%2C2%2C+25.96150997%2C+m%29%29

Answer by ikleyn(52781) About Me  (Show Source):
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.
The correct answer is 11.136 meters (approximately. Correct with 3 decimals).