ABCD is a trapezium with AB || DC. E and F are points on non-parallel – InterviewSolution

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1.	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)`.
Answer» In`/_ADC` ED\|\|DC `(AE)/(ED)=(AD)/(DC)-(1)` In`/_ACB` PF\|\|AB `(CP)/(PA)=(CF)/(FB)-(2)` From1 and2 `(AE)/(ED)=(BF)/(FC)`

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