# Bermuda Triangle

Geometry Level pending

Suppose a triangle, $$PQR$$, has 4 marked points on line segment $$PQ$$, 3 points on $$QR$$, and 6 points on side $$PR$$. These points are placed randomly along each line segment. Suppose all possible lines connecting these 13 points are drawn. A line cannot be drawn between 2 points on the same side of the triangle. How many points of intersection are there that lie within the triangle?

×