Consider the following potential location:

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?


If all else fails, use the law of cosines . . .

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