# 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
and hence calculate ∠A.

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