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?
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) (Show Source): You can put this solution on YOUR website!
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) (Show Source): You can put this solution on YOUR website! hypotenuse: c = 27
one leg: a = 11 times the square root of 5. Correct?
other leg: b
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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) (Show Source): You can put this solution on YOUR website!
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?
