nicolesavage00 nicolesavage00

10-03-2019
Mathematics

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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!!!

Respuesta :

10-03-2019

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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