Triangular Art Gallery

Geometry Level 2

How many guards does it take to guard a museum in the shape of a triangle?

Details: A point \(P\) in the museum is visible to a guard if the line segment from the guard to \(P\) lies within the triangle (or along the boundary).

See Guarding a Museum for more details on guarding a museum.

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.