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Bisecting a Line Segment through the Orthocenter

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HD
≈
2.45
DP'
≈
2.45
Let P and P' be opposite points on the circumcircle of the triangle ABC. Let G be the centroid of ABC and H its orthocenter. Then PG bisects HP' at D.
Drag the purple points A, B, C, or P to change the figure.
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