Question

Where is the circumcenter of an obtuse triangle located?

Responses

on a side of the triangle
on a side of the triangle

inside the triangle
inside the triangle

at a vertex of the triangle
at a vertex of the triangle

outside the triangle

Answer 1

Outside the triangle.

Reason: the circumcenter is the intersection of the perpendicular bisectors of the sides. For an obtuse triangle those bisectors meet outside the triangle (for a right triangle the circumcenter is the midpoint of the hypotenuse; for an acute triangle it is inside).