Is it ever possible for a triangle's INCENTER to lie OUTSIDE the triangle? If so, under what condition(s) will this occur? GEOMETRY QUESTOIN

The circumcenter is not always inside the triangle. In fact, it can be outside the triangle, as in the case of an obtuse triangle, or it can fall at the midpoint of the hypotenuse of a right triangle.

Step-by-step explanation:

Like the centroid, the incenter is always inside the triangle. It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle. ... To see that the incenter is in fact always inside the triangle, let's take a look at an obtuse triangle and a right triangle.

The circumcenter is not always inside the triangle. In fact, it can be outside the triangle, as in the case of an obtuse triangle, or it can fall at the midpoint of the hypotenuse of a right triangle.

Step-by-step explanation:

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step-by-step explanation: