2005 AIME I Problems/Problem 7

Problem

In quadrilateral $ABCD, BC=8, CD=12, AD=10,$ and $m\angle A= m\angle B = 60^\circ.$ Given that $AB = p + \sqrt{q},$ where $p$ and $q$ are positive integers, find $p+q.$

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2005 AIME I Problems/Problem 7

Problem

Solution

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