Triangle in a Right Trapezium

Geometry Level 3

ABCDABCD is a right trapezium with ABAB parallel to CDCD and BAD=ADC=90\angle BAD = \angle ADC = 90^\circ. The diagonals ACAC and BDBD intersect at EE. If AB=7AB = 7, DC=28DC = 28 and AD=75AD = 75, what is the area of triangle BECBEC?

You may choose to refer to Parallel Lines.

Details and assumptions

A trapezium has a pair of parallel sides

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