If a line intersects sides AB and AC of a `DeltaA B C`at D and E respe – InterviewSolution

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1.	If a line intersects sides AB and AC of a `DeltaA B C`at D and E respectively and is parallel to BC, prove that `(A D)/(A B)=(A E)/(A C)`
Answer» `/_ADE`~`/_ABC` (AAA) `(AD)/(AB)=(DE)/(BC)=(AE)/(AC)` `(AB)/(AD)=(AC)/(EA)` `(AD+DB)/(AD)=(AE+EC)/(AE)` `1+(DB)/(AD)=1+(EC)/(AC)` `(DB)/(AD)=(EC)/(AC)`

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