# 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