Altitudes and Orthocentres
The Problem :
Using
CabriGéomètrie, 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?
[Definition
: an altitude is a perpendicular drawn from one vertex to the opposite
edge] ·
Prove the result that you have found. Open the File as a Word Document

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