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Difference between revisions of "2023 OIM Problems/Problem 4"

(Created page with "== Problem == Let <math>B</math> and <math>C</math> be two fixed points in the plane. For each point <math>A</math>, outside of the line <math>BC</math>, let <math>G</math> be...")
 
(No difference)

Latest revision as of 03:17, 14 December 2023

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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

https://sites.google.com/associacaodaobm.org/oim-brasil-2023/pruebas

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