Altitudes and Orthocentres
The Problem :
Cabri-Géomètrie, or Geometers’ SketchPad, construct a circle of
convenient size and then a triangle whose vertices lie on the circumference of
the circle. Find the meeting point of two altitudes of the triangle.
What is the locus of this point of intersection as one of
the vertices moves around the circumference of the circle?
: an altitude is a perpendicular drawn from one vertex to the opposite
Prove the result that you have found.
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