ΔABC is an equilateral triangle whose …

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ΔABC is an equilateral triangle whose three vertices lie on a circle. Side AB is produced to a point D such that DB =AB . A line through D parallel to BC is drawn . A line through C parallel to DB is drawn to meet the previously drawn line at E. Prove that area of ΔABC is equal to half of area of quadrilateral BDEC.
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