SOLUTION: The hypotenuse of a right triangle is 13 centimeters. The length of the larger leg of the triangle is 7 centimeters longer than the shorter leg. Find the lengths of Both the shorte

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The hypotenuse of a right triangle is 13 centimeters. The length of the larger leg of the triangle is 7 centimeters longer than the shorter leg. Find the lengths of Both the shorte      Log On


   



Question 1037584: The hypotenuse of a right triangle is 13 centimeters. The length of the larger leg of the triangle is 7 centimeters longer than the shorter leg. Find the lengths of Both the shorter and longer legs of the triangle.
(hint Pythagorean Thm)
Set up and solve using an algebraic equation.
I am lost on this. Thank you

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The hypotenuse of a right triangle is 13 centimeters. The length of the larger leg of the triangle is 7 centimeters longer than the shorter leg. Find the lengths of Both the shorter and longer legs of the triangle.
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x = length of shortest leg
x+7 = other leg
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x%5E2+%2B+%28x%2B7%29%5E2+=+13%5E2
solve for x