Question

what type of triangle will have a circumcenter outside the triangle?

Explanation:

The circumcenter is the intersection of the perpendicular bisectors of a triangle's sides. For an acute triangle, the circumcenter is inside the triangle. For a right - angled triangle, the circumcenter is at the mid - point of the hypotenuse (on the triangle). For an obtuse triangle, since the angles are greater than \(90^{\circ}\), the perpendicular bisectors intersect outside the triangle.

Answer:

An obtuse triangle.