Question

The center of the inscribed circle of a triangle has been established. Which point on one of the sides of a triangle should be chosen to set the width of the compass

a. intersection of the side and the median to that side
b.intersection of the side and the angle bisector of the opposite angle
c. intersection of the side and the perpendicular passing through the center
d. intersection of the side and the altituide dropped from the opposite vertex

Answer 1

c. intersection of the side and the perpendicular passing through the center

Explanation:

The radius of the incircle is the distance from the center of that circle (known) to the nearest point on any side. That point is at the intersection of a perpendicular line through the center of the incircle.