geometry

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the longer base of an isosceles trapezoid is 14 feet. the nonparallel sides are each 10 feet long and the length of diagonal is 16 feet. find the measure of a base angle

  • geometry -

    So we have a trapezoid ABCD, in which
    AB=unknown
    BC=10,
    CD=14
    DA=10
    and
    AC=16.

    Sketch the triangle ACD for which the lengths of all three sides are known.
    Using the cosine rule, calculate the cosine of A using
    cosA=(AC²+AD²-CD²)/(2*AC*AD)
    and hence calculate ∠A.

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