In △ABC the points M and N belong to the sides AC and AB respectively. AM/MC = AN/NB = 2/3 . Prove that MN∥BC. Find MN, if BC=20. Please help!!!

asked Feb 16, 2020 724 views

1 vote

In △ABC the points M and N belong to the sides

AC and AB respectively. AM/MC = AN/NB = 2/3 .
Prove that MN∥BC. Find MN, if BC=20. Please help!!!

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2 votes

since AM/AC = AN/AB = 2/5,

then ∆ABC similar to ∆ANM.

since ∆ABC ~ ∆ANM,

then MN || BC.

by similarity

MN = BC•2/5 = 8

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