MathDB
Geometric equality

Source:

July 7, 2020
rotationgeometryorthocentercircumcircle

Problem Statement

The circumcenter, circumradius and orthocenter of a triangle ABC ABC satisfying AB<AC AB<AC are notated with O,R,H, O,R,H, respectively. Prove that the middle of the segment OH OH belongs to the line BC BC if AC2−AB2=2R⋅BC. AC^2-AB^2=2R\cdot BC.
Marius Marchitan
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