Question

Erica plotted the three towns closest to her house on a graph with town A

Answer 1

First, determine the distances from the towns.
  Town A to Town B: Opposite angle C
                      d = sqrt ((12 - 7)^2 + (9 - 9)^2)
                      d = 5
  Town B to Town C: Opposite Angle A
                      d = sqrt ((7 - 1)^2 + (9 - 1)^2)
                       d = 10
  Town A to Town C: Opposite Angle B
                       d = sqrt (12 - 1)^2 + (9 - 1)^2)
                        d = 13.6
The angle with largest measure is the one opposite the greatest distance. Thus, the arrangement would be:    C, A, B.