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.

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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(52754)   (Show Source): You can put this solution on YOUR website!
.

Let "x" be the length of the "one leg".


Then the hypotenuse is 4x units long.


Pythagorean theorem gives you an equation


     -  = ,

or

           = 9*15,

             = 9

     x          =  = 3.    


So, "one leg"  is 3 units long.


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

Solved.


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