
We have a point that is at distances of 8, 5, and 3 from the respective
vertices of a triangle. A different picture would result if we assumed the
point was inside the triangle. No consider rotating the triangle formed
by Poole, Bray, and the Store by 60 degrees around Poole:

Why would this figure result? A new equilateral triangle results and
the Store, Alton, and the image of the Store after the rotation are collinear.
Why?