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3 February, 18:28

Two legs of a right triangle are 2 inches and 3 inches long. What is the length of the shorter leg of a similar right triangle if its longer leg is 12 inches long?

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  1. 3 February, 21:10
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    Step-by-step explanation:

    a2+b2=c2

    x2 + (x-2) 2=102

    x2+x2-4x+4=100

    2x2-4x+4-100=0

    2x2-4x-96=0

    divide both sides by 2

    x2-2x-48=0

    factor

    (x-8) (x+6) = 0

    x-8=0

    x=8 inches

    x-2=6 inches

    x and x-2 are the legs and the hypotenuse is 10 inches
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