What are the coordinates of the circumcenter of this triangle? enter your answer in the boxes.

The coordinates of the circumcenter of this triangle is (4,-1).

Explanation:

If we draw a circumcircle of a triangle, then the center of the circumcircle is called circumcenter of a triangle.

Draw perpendiculars of bisectors of the three sides of the triangle, the point at which they are intersects each other is called circumcenter.

The circumcenter of a right angle triangle is the midpoint of the hypotenuse.

From the given figure it is noticed that the angle B is 90 degree, so the side AC is the hypotenuse. The coordinates of A is (1,1) and the coordinates of C is (7,-3).

Midpoint=

Midpoint of AC,

Therefore, the coordinates of the circumcenter of this triangle is (4,-1).