Exact Trilinear Coordinates and the Pedal Triangle
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Given a triangle and a point , let be the feet of the perpendiculars from to the sides of . is called the pedal triangle of for .[more]
Let , , be the exact trilinear coordinates of with respect to the sides , , , which have side lengths , , . Let be the inradius and be the semiperimeter of .
with equality if and only if is the circumcenter of .
You can drag the points , , and .[less]
Contributed by: Minh Trinh Xuan (August 2022)
Open content licensed under CC BY-NC-SA