What is the first step in constructing an inscribed circle inside triangle XYZ?

Question

Construct the incenter of triangle XYZ.
Construct the circumcenter of triangle XYZ
Construct the centroid of triangle XYZ.
Construct the orthocenter of triangle XYZ.

Answer 1

The first step in constructing an inscribed circle inside triangle XYZ is to construct the incenter of triangle XYZ.

The incenter is the point where the angle bisectors of the triangle intersect, and it serves as the center of the inscribed circle (incircle) which is tangent to all three sides of the triangle.