: Mathematics: pedal triangle

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pedal triangle

In plane geometry, a pedal triangle is obtained by projecting a point onto the sides of a triangle. More specifically, consider a triangle $△ ABC$ , and a point $P$ that is not one of the vertices $A, B, C$ . Drop perpendiculars from $P$ to the three sides of the triangle (these may need to be produced, i.e., extended). Label $L, M, N$ the intersections of the lines from $P$ with the sides $BC, AC, AB$ . The pedal triangle is then $△ LMN$ .
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Pedal_triangle)

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