Answer:
In the image attached , point G would be the best location for the amphitheatre.
Step-by-step explanation: The developer in order to find the best location for the amphitheatre, needs to find the centroid of the triangle shaped city.
Centroid can be find out easily by finding out the intersection points of all the medians. So we find it by joining TOWN A to midpoint of TOWN B and C , TOWN B to midpoint of TOWN A and C , TOWN C to midpoint of TOWN A and B. And we can observe where these three lines meet is our required point G and also the best location for amphitheatre.
