SOLUTION: Find the length of the shorter leg of a right triangle if the longer leg is 14 feet more than the shorter leg and the hypotenuse is 14 feet less than twice the shorter leg

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Question 977659: Find the length of the shorter leg of a right triangle if the longer leg is 14 feet more than the shorter leg and the hypotenuse is 14 feet less than twice the shorter leg
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
What are expressions for each side?
Let x be length of the shorter side.

Longer side, 14+x;
Hypotenuse, -14+2x;

Relate the different sides using Pythagorean Theorem Equation:
x%5E2%2B%28x%2B14%29%5E2=%282x-14%29%5E2;
Simplify and solve for x.

You would find through the arithmetic steps, 28x=-56x;

Answer: NO SOLUTION.