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construction of trapezoid and area wanted, <120^o

Source: 2002 Austria Beginners' Competition p4

October 4, 2022
geometrytrapezoidconstruction

Problem Statement

In a trapezoid ABCDABCD with base ABAB let EE be the midpoint of side ADAD. Suppose further that 2CD=EC=BC=b2CD=EC=BC=b. Let ∠ECB=120∘\angle ECB=120^{\circ}. Construct the trapezoid and determine its area based on bb.
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