Math, asked by harshja, 1 year ago

Through the mid-point M of the side CD of a parallelogram ABCD, the line BM is drawn intersecting AC at L and AD produced at E. Prove that EL= 2BL.

Answers

Answered by sourishdgreat1
33

see diagram.

we know MC = MD 

ΔBCM and ΔEDM are similar triangles, as sides are all parallel to corresponding sides.  Also MC = MD.  So triangles are congruent.

   =>  AD = BC = DE     => AE = 2 BC

ΔBCL and ΔAEL are similar triangles, as corresponding sides are parallel.

  => EL / BL = AE / BC = 2 

=>  EL = 2 BL  proved.

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Answered by manshika2006
1

Your answer is given above.

Hope you find it helpful.

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