GeoGebra Exercise
For any point in the 'triangle's plane' we can determine the distances to the lines defining the triangle. Any 'triple of numbers' (homogenius trilinear coordinates) determines a particular point in the plane, where homogenius trilinear coordinates determine the ratio of the distances of the point to the 'triangle's lines'.
Explore the dynamic construction. Try to do a similar construction yourself!
D.Kobal with GeoGebra