Derek's+Project

Derek G 1st Hour 2nd Quater Project-Circumcenter

First, I selected 3 points at random and checked if they maked a solid acute triangle, A(-2,4), B(5,3), and C(-1,-4). Sketch pad also shows that it is a scalene triangle. Secondly, I calculated the midpoints for AB and BC.. Third, I calculated the slopes of AB and BC and I used those opposite recripricals for the slopes of the midpoints(D and E). Fourthly, I solved for the "x" value where the two perpindiculars intersect by solving the systems of equations. Lastly, I used the distance formula and found the radius for the circle. Here is my final product, a circle intersecting all three point of the triangle.