Problem: Three towns in Ireland, Poole, Bray, and Alton,
are located 8, 3, and 5 miles, respectively, from a store. How
far apart are the towns from one another if they are located at
the vertices of an equilateral triangle?
Is the store inside, on, or outside the triangle?
Compare with the Barn problem.
Consider the problem if the three distances are 5, 7, and 8 units.
Consider the problem if the three distances are 1, 2, and 3 units (Sastry, 1997).
Hunter, J. A. H. 100 Mathematics Problems; Problem #99.
Sastry, K. R. S. (1997) Problem proposal 340. Mathematics and Computer Education, 31, p. 195.