TxO Math Bowl 2024 - Team Contest - Problem 23


One vertex of a square with side length 5 is also the center of an equilateral triangle with side length 4. If the expected value of the overlap area between the two shapes is EE, compute E2E^2.

Show/Hide Hints

Show/Hide Problem Tags

Problem Tags: 2-d Geometry

Want to contribute problems and receive full credit? Click here to add your problem!
Please report any issues to us in our Discord server
Go to previous contest problem (SHIFT + Left Arrow) Go to next contest problem (SHIFT + Right Arrow)
Category: TxO Math Bowl Team Contest
Points: 5
Back to practice