- Geometry and Topology
- Geometric Shapes
Point of Minimal Distance : Equilateral Triangle
Using GEOMETRY ONLY, for an equilateral triangular region, for which points is the sum of the distances to the sides of the triangle minimal? Please show me and do not point to a web site.
For any point in this equilateral triangular region, the sum of the distances to the sides of the triangle is the same.
Suppose the triangle has 3 vertices ...
It is proven concisely that the sum of distances from a point inside an equilateral triangle is constant.