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.
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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) (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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