Which of the following steps is needed to inscribe a circle in a triangle? (5 points)

Find the incenter of the triangle

Find the circumcenter of the triangle

Find the orthocenter of the triangle

Find the centroid of the triangle

1 answer

To inscribe a circle in a triangle, the necessary step is to find the incenter of the triangle. The incenter is the point where the angle bisectors of the triangle intersect, and it serves as the center of the inscribed circle (incircle) that touches all three sides of the triangle.

The other points mentioned - the circumcenter, orthocenter, and centroid - relate to different aspects of a triangle but are not involved in inscribing a circle.