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MATHS PROBLEM HELP. BEST ANSWER GETS 10 POINTS?

In a parallelogram ABCD, the diagnal BD intersects the segment AE at F. Where E is any point on side BC.

Prove that DFxEF=FBxFA

1 Answer

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  • 7 years ago

    We have two similar triangles: BFE and DFA because angle F = angle D vertically opposite angles and

    angle B = angle D and angle E = angle A being pair of alternate angles.

    So e/a = b/d or (FB/DF) = (EF/FA) or

    DF*EF = FB*FA

    Hence proved.

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