BM and CN are perpendiculars to a line passing through the vertex A of a triangle ABC. If L is the mid-point of BC, prove that $$LM=LN$$.

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B M

and

C N

are perpendiculars to a line passing through the vertex

A

of a triangle

A B C

. If

L

is the mid-point of

B C

, then

L M = L N .

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