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.

## Answer This Question

## Related Questions

- geometry - In the accompanying diagram of triangle ABC side DE is parallel to AC...
- geometry - I have triangle ABC. Bottom is AC with midpoint F. There is a point ...
- Please help in triangle - ABC is an isosceles triangle with AB=BC and ∠ABC...
- geometry - Let ABC be a right triangle with ACB =90, AC =6 , and BC =2. E is the...
- Geometry - Is it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point...
- geometry - in triangle GHJ, K(2,3) is the midpoint of GH, L(4,1) is the midpoint...
- mats - in a triangle ABC, D is the midpoint of BC and E is the midpoint of AD. ...
- Maths - In a triangle ABC, D is the midpoint of BC and E is the midpoint of AD...
- geometry - In triangle DEF, A(2,3) is the midpoint of DE, B(4,1) is the midpoint...
- geometry - in triangle GHJ, k(2,3) is the midpoint of GH, l(4,1) is the midpoint...

More Related Questions