Question

What is the circumcenter of a triangle with the coordinates of (-3,3) (-3,-2) (1,-2)

Answer 1

We know that the circumcenter of a right triangle is at the center of the hypotenuse.

Thus, the circumcenter of a triangle is: C(-1, 1/2)

Please check the attached figure.

Explanation:

Given the triangle with the coordinates of the vertices

• (-3, 3)

• (-3, -2)

• (1, -2)

First plot the points on the graph, as shown in the attached diagram.

It is clear from the attached diagram that it forms a right triangle.

• We know that the circumcenter of a right triangle is at the center of the hypotenuse.

From the attached diagram, it is clear that the center of the hypotenuse lies on C(-1, 1/2).

Thus, the circumcenter of a triangle is: C(-1, 1/2)

Please check the attached figure.