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.

## 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