Question

Find the circumcenter of the triangle ABC. A(-4,-3), B(8,5), C(-4,5).​

Answer 1

The circumcenter of triangle ABC with vertices A(-4,-3), B(8,5), and C(-4,5) is (-2/3, -4/3).

Step-by-step explanation:

The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of its sides. To find the circumcenter of triangle ABC with vertices A(-4,-3), B(8,5), and C(-4,5), we need to find the equations of the perpendicular bisectors of its sides and solve them simultaneously.

Step 1: Find the equations of the perpendicular bisectors of the sides AB, BC, and AC.

Step 2: Solve the equations simultaneously to find the coordinates of the circumcenter.

Step 3: Substitute the coordinates of the circumcenter into the equation of the circle to find its radius.

Therefore, the circumcenter of triangle ABC is (-2/3, -4/3).