Philippa M. Rhodes, 1998

Morley's Triangle

Overview
This essay will explore the relationships between triangles and the polygons or points formed by the intersection of rays that bisect and trisect the angles of the triangle.

First, bisect each angle of a given triangle. Notice that the three bisectors intersect at the same point. (concurrent)

Using GSP, investigations can be done in order to make conjectures.

 

 

 

Simson Line

 

The orientation of the deltoid formed by the envolope of the Simson line is the same as the external Morley's triangle

 

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