The problem involves point P located within triangle ABC, with given area ratios of sub-triangles PAB, PBC, and PCA. Participants are tasked with finding the ratio AQ : QC and demonstrating that BP = 0.5 BQ.
Some participants have provided hints about using properties of triangles with shared altitudes and bases, while others express uncertainty about their understanding of the geometry involved. There is ongoing exploration of assumptions and clarifications regarding the setup of the problem.
There is some confusion regarding the terminology used, particularly the term 'altitude' and its application in this context. Additionally, the role of point Q and its relationship to point P is under discussion, with varying interpretations among participants.
You mean in triangle ABC don't you?songoku said:
Q? Where did Q come from? Do you mean P?
Generally snipez90 is correct, but I can't explain it well without a diagram, I‘ll try to make a picture later.snipez90 said:
songoku said:
