Posted by **Steve** on Sunday, June 16, 2013 at 12:38am.

Triangle ABC has ∠A=40∘, ∠B=60∘, ∠C=80∘. Points M,N trisect the side BC and points P,Q trisect the side AC. The lines AM,AN,BP,BQ intersect at the points S,T,U,V as shown in the figure below, dividing the triangle into 9 regions. Determine the smallest possible value of [ABC]+[STUV] such that both [ABC] and [STUV] are positive integers.

## Answer this Question

## Related Questions

- Math - Triangle ABC has ∠A=40∘, ∠B=60∘, ∠C=80&#...
- geometry! - ABC is an acute angle triangle with points D and E on BC and AC, ...
- geoMETRY! - ABC is an acute angle triangle with points D and E on BC and AC, ...
- Geometry please help - Ravi wants to trisect an angle AOB, which has measure &#...
- Maths - ABCD is a parallelogram with side lengths AB=15,BC=10 and ∠ADC=75...
- geometry(triangle) - Triangle ABC is a right triangle with ∠ABC=90∘...
- Math (Geometry) - ABCD is a parallelogram with side lengths AB=15,BC=10 and &#...
- Math (Geometry) - In triangle ABC, ∠A=20∘ and ∠B=80∘. ...
- heeeeeeeelp math - In triangle ABC, ∠A=20∘ and ∠B=80∘. ...
- geometry!!! please help me!!!! - ABC is a triangle with ∠ACB=45∘. D ...

More Related Questions