Problem

Problem of the Day #61

POTD February 4, 2024

In $\triangle ABC,$ $AB = 21,$ $BC = 20,$ $AC = 29,$ and point $G$ is the intersection of the medians. Points $A',$ $B',$ and $C',$ are the images of $A,$ $B,$ and $C,$ respectively, after a $180^\circ$ rotation about $G.$ What is the area of the union of the two regions enclosed by the triangles $ABC$ and $A'B'C'?$

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Problem Tags: 2-d Geometry Set theory

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Category: Problem of the Day
Points: 3
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