OPM 2024 Problem 2

Final day 1

Let $ABC$ be a triangle and $D,E$ and $F$ the midpoints of sides $BC, AC$ and $BC$ . Medians $AD$ and $BE$ are perpendicular, $AD = 12$ and $BE = 9$ . What is the value of $CF$ ?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2024 official paper, page 1.

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

Solutions

Similar problems