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Dede Group Title

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
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  1. pylauzier Group Title
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    let x be the shortest leg. One side is x, and the other is x + 6. The hypotenuse is 2x - 6. \[(2x-6)^{2} = x ^{2} + (x+6)^{2}\]

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  2. pylauzier Group Title
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    Can you solve for x?

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  3. Dede Group Title
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    No

    • 2 years ago
  4. pylauzier Group Title
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    Too bad

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  5. Dede Group Title
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    Thanks

    • 2 years ago
  6. lithas Group Title
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    4^2-24x+36 = 2x^2+12x+36 Can you solve it from there?

    • 2 years ago
  7. lithas Group Title
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    all I did, by the way, was expand out everything that was in parentheses

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  8. Dede Group Title
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    =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?

    • 2 years ago
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