Math, asked by morankhiraj, 4 months ago


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Q. The diagonal of BD of a parallelogram ABCD intersects AE at point F, where E is any point on the side BC. Prove that DF × EF = FB × FA.

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Answers

Answered by pradeepchaklan9719
4

Given: The diagonal BO of parallelogarn ABCD intersects the segment AE at F,

where E is any point on BC.

To provo: DF x EF= FB x FA

Proof: In triangles AFD and BFE,

∠FAD = ∠FEB (Alternate angles)

∠AFD = ∠BFE (Vertically opposite angles)

Therefore △ADF ~ △BFE (AA similarity)

DF/FA = FB/EF

Hence DF x EF = FB x FA

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Answered by Anonymous
18

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to happy birthday in advance dear

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