SOLUTION: The length of own leg of a right triangle is 12 Meters. The length of the hypotenuse is 6 meter longer then the other leg. Find the lengths of the hypotenuse and the other leg

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Question 447482: The length of own leg of a right triangle is 12 Meters. The length of the hypotenuse is 6 meter longer then the other leg. Find the lengths of the hypotenuse and the other leg
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

The length of the hypotenuse is 6 meter longer then the other leg

Let x and (x+6)represent the length of the other leg and the hypotenuse

Applying the Pythagorean Theorem:

  12^2 + x^2 = (x+6)^2

  12^2 + x^2 = x^2 + 12x+ 36

     12x = 108

       x = 9m, the other leg and the hyotenuse is 15m



CHECKING our Answer***

   144 + 81 = 225