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the length of the longer leg of a right triangle is 13 ft more than 3 times the length of the shorter leg. the length of the hy...Asked by Layton
The length of the longer leg of a right triangle is 13 ft more than three times the length of the shorter leg. The length of the hypotenuse is 14 ft more than three times the length of the shorter leg. Find the side lengths of the triangle.
Answers
Answered by
oobleck
If the shorter leg is x, then we have
x^2 + (3x+13)^2 = (3x+14)^2
x^2 + 9x^2 + 78x + 169 = 9x^2 + 84x + 196
x^2 - 6x - 27 = 0
Now finish it off
x^2 + (3x+13)^2 = (3x+14)^2
x^2 + 9x^2 + 78x + 169 = 9x^2 + 84x + 196
x^2 - 6x - 27 = 0
Now finish it off