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Question
In triangle ABC, M is mid-point of AB and a straight line through M and parallel to BC cuts AC in N. Find the lengths of AN and MN if Bc = 7 cm and Ac = 5 cm.
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Solution
The triangle is shown below,
Since M is the midpoint of AB and MN || BC hence N is the midpoint of AC. Therefore
MN = `[1]/ [2]` BC = `[1]/ [2]` x 7 = 3.5cm
And AN = `[1]/ [2]` AC = `[1]/ [2]` x 5 = 2.5cm
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