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March 26, 2017

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ABCD is a quadrilateral with ∠ADC=∠ACD, ∠ACB=∠ABC and CD=7. If triangles ADC and ABC have perimeter 51 and 59, respectively, what is the value of BC?

  • geometry - ,

    It should be easy to see that
    AB = AC = AD
    let each one be x
    in triangle ADC
    2x + 7 = 51
    2x= 44
    x = 22

    in triangle ABC
    2x + BC = 59
    44 + BC = 59
    BC = 15

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