anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
let x be the shortest leg. One side is x, and the other is x + 6. The hypotenuse is 2x - 6. \[(2x-6)^{2} = x ^{2} + (x+6)^{2}\]
anonymous
  • anonymous
Can you solve for x?
anonymous
  • anonymous
No

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anonymous
  • anonymous
Too bad
anonymous
  • anonymous
Thanks
anonymous
  • anonymous
4^2-24x+36 = 2x^2+12x+36 Can you solve it from there?
anonymous
  • anonymous
all I did, by the way, was expand out everything that was in parentheses
anonymous
  • anonymous
=2x^2+12x+36=4x^2-24x+36 0=2x^2-36x 2x^2-36=0 2(x^2-18)=0 x^2-18=0 x(x-18)=0 x=0 x-18=0 x=18 Length of the shorter leg is 18 meters Correct?

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