SOLUTION: The hypotenuse of a right triangle is 4 times one of the legs. The other leg is 3√15 units. Find the length of the hypotenuse.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: The hypotenuse of a right triangle is 4 times one of the legs. The other leg is 3√15 units. Find the length of the hypotenuse.       Log On


   

Question 1147594: The hypotenuse of a right triangle is 4 times one of the legs. The other leg is 3√15 units. Find the length of the hypotenuse.
Answer by ikleyn(52752) About Me  (Show Source):
You can put this solution on YOUR website!
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Let "x" be the length of the "one leg".


Then the hypotenuse is 4x units long.


Pythagorean theorem gives you an equation


    %284x%29%5E2 - x%5E2 = %283%2Asqrt%2815%29%29%5E2,

or

    15x%5E2       = 9*15,

    x%5E2         = 9

     x          = sqrt%289%29 = 3.    


So, "one leg"  is 3 units long.


Then the hypotenuse is  3*4 = 12 units long.    ANSWER

Solved.