GEOOOOMETRY!!!!!....Angled Perimeter

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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?

  • GEOOOOMETRY!!!!!....Angled Perimeter -

    ∆ACD and ∆ACB are isosceles
    So, AD=AC and AB=AC
    AC = (51-7)/2 = 22
    So, BC=59-22-22 = 15

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