Question

In the given figure , M is the midpoint of side CD of a parallelogram ABCD . The line BM is drawn intersecting AC at L and AD produced at E . Proved that EL = 2BL

Answer 1

See diagram.

ΔBCM & ΔEDM are similar.        MD=CM  =>  BC = DE,   as AD = BC,  AE = 2 BC
ΔACL & ΔAEL are similar.        EL / BL = AE / BC = 2
So     EL = 2 BL

Answer 2

Step-by-step explanation:

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