olymmath

AIME 2024b Problem 5

  • Paper
  • Answer

Let ABCDEF be a convex equilateral hexagon in which all pairs of opposite sides are parallel. The triangle whose sides are extensions of segments AB, CD, and EF has side lengths 200, 240, and 300. Find the side length of the hexagon.

Dataset text AIME 1983 to 2026. Quoted with source.

Show the answer

80

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator aime/2024b/p5 · Tag 30K9X96MAJ · Edit this page on GitHub · Keys: j next, k previous