If P is located outside of triangle ABC, three different cases are created.


The first case occurs when P is located outside of the side opposite to the greatest angle. In this case, the pedal triangle is an ordinary triangle.


The second case occurs when P is located outside either of the other two sides. In this situation, the Pedal Triangle formed is a degenerate triangle.


The third situation occurs when P is located near one of the vertices. In this case, the Pedal Triangle does not exist.


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