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ratio BC:AD wanted, AB=CE, BE= AD, <AED=<BAD (2010 NZOMC Camp Sel. J5)

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January 3, 2021
ratiogeometryequal segmentsequal angles

Problem Statement

The diagonals of quadrilateral ABCDABCD intersect in point EE. Given that ∣AB∣=∣CE∣|AB| =|CE|, ∣BE∣=∣AD∣|BE| = |AD|, and ∠AED=∠BAD\angle AED = \angle BAD, determine the ratio ∣BC∣:∣AD∣|BC|:|AD|.
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