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The base of a triangle is 6 cm greater than twice the height.The area is 28 cm2.Find the height and the base.

  • math -

    Let
    H=height in cm.
    Base = 2H+6 cm

    Area = (1/2)*H*base = 28
    H(2H+6)=2*28=56
    2H²+6H-56 = 0
    H²+3H-28=0
    Factorize
    (H-4)(H+7)=0
    H=4
    or H=-7 (negative rejected)

  • math -

    18

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