Question

Here triangle formed by excentres is pedal triangle or triangle ABC is a pedal triangle
explain why
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Answer 1

Answer:

If P is on the circumcircle of the triangle, LMN collapses to a line. This is then called the pedal line, or sometimes the Simson line after Robert Simson.

The vertices of the pedal triangle of an interior point P, as shown in the top diagram, divide the sides of the original triangle in such a way as to satisfy Carnot's theorem:[1]

Explanation:

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