COMPARE!
Triangle #1 has a constructed
point D that gives the minimum sum between D
and the vertices. Move points A, B, and C to see how D changes with
different types of triangle (obtuse, acute, isosceles, ect.).
Triangle #2 is congruent to Triangle #1. Explore by moving point E and comparing
the sum of the distances for Triangle #1
and Triangle #2.
When E is moved, where does the sum of A'E, B'E, and C'E
seem to be the smallest????
NOW HOW DO WE CONSTRUCT THIS POINT????