2023 OIM Problems/Problem 4

Problem

Let $B$ and $C$ be two fixed points in the plane. For each point $A$ , outside of the line $BC$ , let $G$ be the centroid of the triangle $ABC$ . Find the locus of points $A$ such that $\angle BAC + \angle BGC = 180^{\circ}$ .

Note: The locus is the set of points in the plane satisfying the property.

Solution

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2023 OIM Problems/Problem 4

Problem

Solution

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