Posted by **Surendra** on Friday, October 29, 2010 at 10:58am.

In a triangle ABC,E and F are the mid-points of AC and AB respectively. The altitude AP to BC intersects EF at Q.Prove AQ =PB.

- geometry -
**bobpursley**, Friday, October 29, 2010 at 11:20am
I would use similar triangles

First ACP ~ AFQ (use alt angle of parallel lines, and one common angle, triangles with three same angles are sim)

Then, AF=FC given midpoint.

which then, using proportion, aq=qp

## Answer This Question

## Related Questions

- MATH - .In <ABC, <A=60,<B=70,<C=50. Points D , E ,F are the mid-...
- Geometry - Please answer at least one . PLEASE 1. Triangle XYZ has a right ...
- Geometry - D is the mid-point of side AB of the triangle ABC, E is mid-point of ...
- maths-areas - in triangle ABC P, Q AND R ARE the mid points of side AB, BC, CA....
- geometry - In the diagram below, the length of the legs AC and BC of right ...
- math - Let P and Q be the points on the sides AB and BC of a triangle ABC ...
- Help triangle angles! - Points D, E, and F are the midpoints of sides BC, CA, ...
- maths - Mid-points of the sides AB and AC of a triangle ABC are ( 3 , 5 ) and...
- Math - Geometry - Triangle Medians and Altitudes - Points D, E, and F are the ...
- co-ordinate geometry maths - find area of triangle abc & triangle def if D E F ...

More Related Questions