SOLUTION: The hypotenuse of a right triangle is √29 cm. One leg is 8 cm shorter than twice the length of the other leg. Find the lengths of the legs of the right triangle.

Algebra ->  Pythagorean-theorem -> SOLUTION: The hypotenuse of a right triangle is √29 cm. One leg is 8 cm shorter than twice the length of the other leg. Find the lengths of the legs of the right triangle.       Log On


   

Question 374875: The hypotenuse of a right triangle is √29 cm. One leg is 8 cm shorter than twice the length of the other leg. Find the lengths of the legs of the right triangle.
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
(leg A)^2 + (leg B)^2 = (hypotenuse)^2

The above is called the Pythagorean Theorem.

The hypotenuse is sqrt[29].

leg A = x

leg B = 2x - 8

Just plug that information into the formula above and do the math.

(x)^2 + (2x - 8)^2 = (sqrt[29])^2

Can you take it from here?

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