Posted by Will on Saturday, January 1, 2011 at 8:53pm.
Triangle ABC, AB=8, BC=10, and AC=12, M is the midpoint of AB, and N is the midpoint of BC. What is the length of MN?

geometry  Henry, Sunday, January 2, 2011 at 3:38pm
Triangle ABC is similar to triangle MBN. Therefore, the corresponding sides are proportional:
MN/AC = BM/AB,
MN/12 = 4/8,
Cross multiply:
8MN = 48,
MN = 6.

geometry  meghana, Wednesday, April 27, 2016 at 3:59am
By mid point theorem, mn would equal half ac and would be parallel to ac. Thus mn equals 6. The lengths of ab and bc are not required to answer this question. It can be solved by similarity or basic proportionality theorem also.
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