Napolean Triangle Investigation
Napolean Triangle Investigation
Start by building a non-special traingle.
Off of each side, build an equilateral triangle.
For each equilateral triangle, find the intersection of the angle bisectors.
Mark the instersection points, then hide the angle bisection lines to declutter your construction.
Connect the intersection points to make 3 lines segments. Use a color other than black.
Now, move one of your original triangle vertices.
What do you notice?
I wonder if we could prove it.