In North Carolina, a new professional baseball stadium is under consideration for construction within the research triangle as seen to your left. Three cities form this triangle: Chapel Hill, Durham, and the capital Raleigh are the vertexes.
As shown to the left, a cleaner view of the triangle is shown. We have been tasked with determining the most cost-effective location for the stadium by configuring the centroid, circumcenter, incenter, and the orthocenter. Additionally, we must take into account the cost of building new highways ($125,000 per mile) and the cost of resurfacing an existing highway ($50,000 per mile).