MathDB
2017 Theme #2

Source:

May 8, 2018
geometry

Problem Statement

Horizontal parallel segments AB=10AB=10 and CD=15CD=15 are the bases of trapezoid ABCDABCD. Circle γ\gamma of radius 66 has center within the trapezoid and is tangent to sides ABAB, BCBC, and DADA. If side CDCD cuts out an arc of γ\gamma measuring 120∘120^{\circ}, find the area of ABCDABCD.
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