# Triangle in a Right Trapezium

Geometry Level 3

$$ABCD$$ is a right trapezium with $$AB$$ parallel to $$CD$$ and $$\angle BAD = \angle ADC = 90^\circ$$. The diagonals $$AC$$ and $$BD$$ intersect at $$E$$. If $$AB = 7$$, $$DC = 28$$ and $$AD = 75$$, what is the area of triangle $$BEC$$?

You may choose to refer to Parallel Lines.

Details and assumptions

A trapezium has a pair of parallel sides

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