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Area of Trapezoid

Source: CentroAmerican & Caribbean MO 1999 Q4

January 24, 2007
geometrytrapezoidfunctiontrigonometrygeometry proposed

Problem Statement

In the trapezoid ABCDABCD with bases ABAB and CDCD, let MM be the midpoint of side DADA. If BC=aBC=a, MC=bMC=b and ∠MCB=150∘\angle MCB=150^\circ, what is the area of trapezoid ABCDABCD as a function of aa and bb?
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