MathGrit
ProblemsTechniquesPricing
Sign inGet started
Back to problems

Maximum Triangle Intersection Points

1300ApprenticeCombinatoricsGeometry
Intersection of triangles - The $3$ triangles in the figure intersect in $12$ different points. What is the maximum number of intersection points of $3$ triangles?
0 students attempted0% solvedRating 1300

Related practice paths

AMC 10 PracticeAlgebra, geometry, counting, and number theory practice.AMC 10 vs AMC 12Choose the right practice path and difficulty level.AIME Practice StrategyHow to improve accuracy on high-difficulty problems.

Ready to check your answer?

Create an account to submit answers, save history, and track your rating.

Progressive Hints5

Unlock hints one at a time — each reveals a little more without spoiling the solution.

Step-by-Step Solutions4

Multiple solution approaches with detailed walkthroughs, unlocked after you solve the problem.

AI-Powered Grading

Instant feedback on your answer — handles fractions, decimals, and equivalent forms.

Curated problem bank

Supported tracks for AMC, AIME, MATHCOUNTS, and olympiad-style training, plus global problem sources like UKMT, Euclid, and Kangaroo.