L and M are the mid points of the sides AB and AC of triangle ABC . X is any point on BC prove that MN bisects AX . Please draw diagram also guys.
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L and M are mid points of AB and AC of triangle ABC respectively
Therefore, LM || BC and LM = 1/2 BC
Draw AX, it intersects LM at N
Consider triangle AXC
M is mid point of AC and
MN is parallel to BC (As LM || BC)
Therefore, N is mid point of AX
⇒ MN bisects AX
Therefore, LM || BC and LM = 1/2 BC
Draw AX, it intersects LM at N
Consider triangle AXC
M is mid point of AC and
MN is parallel to BC (As LM || BC)
Therefore, N is mid point of AX
⇒ MN bisects AX
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