Question

Where is the circumcenter of this triangle located? on a side of the triangle outside the triangle inside the triangle at a vertex of the triangle

Answer 1

The steps to find the circumcenter of a triangle:
Find and Calculate the midpoint of given coordinates or midpoints (AB, AC, BC)
Calculate the slope of the particular line.
By using the midpoint and the slope, find out the equation of line (y-y1) = m (x-x1)
Find out the other line of equation in the similar manner.

Answer 2

On a side of the triangle.

Explanation:

The circumcenter of a triangle is the points formed by the intersection of the perpendicular bisector of the sides. This point can be located inside, outside, on a side, depending on the type of triangle.

In the special case of right triangles, the circumcenter is located on the midpoint of the hypothenuse, that is, on a side of the triangle, like the image attached shows.

The second image attached show the circumcenter.

Therefore, the correct answer is the first choice.