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 2 years ago
A garden has the shape of a right triangle with one leg 6 meters longer than the other. The hypotenuse is 6 meters less than twice the length of the shorter leg. Find the length of the shorter leg.
 2 years ago
A garden has the shape of a right triangle with one leg 6 meters longer than the other. The hypotenuse is 6 meters less than twice the length of the shorter leg. Find the length of the shorter leg.

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pylauzier
 2 years ago
Best ResponseYou've already chosen the best response.1let x be the shortest leg. One side is x, and the other is x + 6. The hypotenuse is 2x  6. \[(2x6)^{2} = x ^{2} + (x+6)^{2}\]

lithas
 2 years ago
Best ResponseYou've already chosen the best response.14^224x+36 = 2x^2+12x+36 Can you solve it from there?

lithas
 2 years ago
Best ResponseYou've already chosen the best response.1all I did, by the way, was expand out everything that was in parentheses

Dede
 2 years ago
Best ResponseYou've already chosen the best response.0=2x^2+12x+36=4x^224x+36 0=2x^236x 2x^236=0 2(x^218)=0 x^218=0 x(x18)=0 x=0 x18=0 x=18 Length of the shorter leg is 18 meters Correct?
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