HMMT 2005 G3

Geometry
Answer

Let $A B C D$ be a rectangle with area 1 , and let $E$ lie on side $C D$ . What is the area of the triangle formed by the centroids of triangles $A B E, B C E$ , and $A D E$ ?

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\frac{1}{9}

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