SOLUTION: The hypotenuse of a right triangle is four times then length of one of the legs. The length of the other leg is square root 735 feet. Find the length of the leg and hypotenuse.
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-> SOLUTION: The hypotenuse of a right triangle is four times then length of one of the legs. The length of the other leg is square root 735 feet. Find the length of the leg and hypotenuse.
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Question 539441: The hypotenuse of a right triangle is four times then length of one of the legs. The length of the other leg is square root 735 feet. Find the length of the leg and hypotenuse. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The hypotenuse of a right triangle is four times then length of one of the legs.
let x = length of one leg
then
4x = length of the hypotenuse
:
The length of the other leg is square root 735 feet.
Find the length of the leg and hypotenuse.
:
x^2 + = (4x)^2
which is:
x^2 + 735 = 16x^2
735 = 16x^2 - x^2
735 = 15x^2
divide both sides by 15
49 = x^2
x =
x = 7 is one leg
then
4(7) = 28 is the hypotenuse
and ~ 27.111 ft is the other leg
