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25 August, 08:46

The base of a triangle is 66 cm greater than the height. the area is 2020 cmsquared2. find the height and the length of the base.

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  1. 25 August, 09:03
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    (B*H) / 2 = Area=2020

    H+66=B

    Plug in for B

    ((H+66) * H) / 2=2020

    Multiply both sides by 2, and distribute the H

    H^2+66h=4040

    H^2+66H-4040=0

    Now we have a quadratic and must find the roots

    This can be found by graphing or using the quadratic formula

    (-B+-sqrtB^2-4 (ac)) / 2a

    One H value is positive while the other is negative so it must be the positive value

    H=38.617

    Plug that into the second equation

    38.617+66=B

    B=104.617
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