Answer:
The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter. It is denoted by P(X, Y). The circumcenter is also the centre of the circumcircle of that triangle and it can be either inside or outside the triangle.
Step-by-step explanation:
Steps to find the circumcenter of a triangle with vertices are:
Calculate the midpoint of given coordinates, i.e. midpoints of AB, AC, and BC
Calculate the slope of the particular line
By using the midpoint and the slope, find out the equation of the line (y-y1) = m (x-x1)
Find out the equation of the other line in a similar manner
Solve two bisector equations by finding out the intersection point
Calculated intersection point will be the circumcenter of the given triangle
