Math Challenge Problem
The Math Challenge problem has returned to UNC's School of Mathematical Sciences! This is a problem that everyone is welcomed to try their hand at. New problems twice a month.
March Challenge 1
Consider a 4 x 5 rectangular grid of dots. If you pick three dots, they might or might not form a triangle. If you pick three more, those might or might not form a triangle as well. And if you happen to find two sets of three dots each of which form triangles, the intersection of those triangles might or might not form a quadrilateral (as they do in the picture below).
The Challenge: How many pairs of triangles (all vertices of which are dots in a given 4 x 5 grid) have a quadrilateral intersection?
Submit solutions to Ross 2239G or by email to email@example.com.
Deadline: Friday, March 14.
Win PRIZES! A winner will be randomly selected from all correct answers received for each challenge problem to receive a fun math prize of his or her choice.
September Challenge 1 | September Challenge 2 | October Challenge 1 | October Challenge 2 | November Challenge 1 | November Challenge 2 | January Challenge | February Challenge 1 | February Challenge 2