Problem

TxO Math Bowl 2024 - Guts Contest - Set 3 Problem 1

Lines $l_1$ , $l_2$ , and $l_3$ pass through the centroid of $\triangle ABC$ and are parallel to $AB$ , $BC$ , and $CA$ respectively. These lines intersect $\triangle ABC$ at six distinct points, which form hexagon $PIEYON$ . If the area of $PIEYON$ is $60$ , what is the area of $\triangle ABC$ ?

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Problem Tags: 2-d Geometry

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Category: TxO Math Bowl Guts Round
Points: 3
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