Join the USAMO Guide Discord Server. Regular updates are posted there!

Let me Join!
Dismiss

Problem 20 (2024 AMC 8)

AMC 8Hard

From module Special Triangles

Problem

Any three vertices of a cube can be connected to form a triangle. How many of these triangles are equilateral and contain a given vertex as one of their vertices?

Show me the solution

← Back to all problems