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ABCD is a trapezium with AB || DC. E an...

ABCD is a trapezium with AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF is parallel to AB. Show that`(A E)/(E D)=(B F)/(F C)`.

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To prove that \(\frac{AE}{ED} = \frac{BF}{FC}\) in trapezium \(ABCD\) where \(AB \parallel DC\) and \(EF \parallel AB\), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Trapezium and Points**: - We have trapezium \(ABCD\) with \(AB \parallel DC\). - Points \(E\) and \(F\) are on sides \(AD\) and \(BC\) respectively, such that \(EF \parallel AB\). ...
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