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.

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