Question

in this fig AD is median of /_\ ABC and M is the mid point of AD. BM is produced to AC at N. prove that AN = 1/3 AC​​

Answer 1

ANSWER

Given in △ABC, AD is median BM and CN are perpendicular to AD form B and C respectively.

To prove:

BM=CN

Proof :

In △BMD and △CND

BD=CD (because AD is median)

∠M=∠N

∠BDM=∠CND (vertically opposite angles)

△BMD≅△CND

Therefore, BM=CN