Question

where is the circumcenter located in an obtuse triangle? on the hypotenuse on the right angle outside the triangle inside the triangle

Explanation:

The circumcenter is the point where the perpendicular bisectors of a triangle's sides intersect. In an obtuse triangle, since one angle is greater than 90 degrees, the intersection of these perpendicular bisectors (the circumcenter) lies outside the triangle. For a right - angled triangle, the circumcenter is on the hypotenuse, and for an acute triangle, it is inside the triangle. There is no triangle type where the circumcenter is on a right - angle vertex.

Answer:

C. outside the triangle