Circumcenter, Centroid, and a Perpendicular

★ 7/10plane geometry Triangle Geometry vectors

Problem

The circumcenter of $\triangle ABC$ is $O$ , and $AB=AC$ . $D$ is the midpoint of $AB$ , and $E$ is the centroid of $\triangle ACD$ . Prove that $OE\perp CD$ .

Answer

Solution

Difficulty	7/10
Topics	plane geometry, Triangle Geometry, vectors

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