Question

true or false? the incenter of a triangle is the center of the only circle that can be inscribed in it.

Answer 1

This is true, the definition of incenter is the point forming the origin of a circle within a triangle

Answer 2

Answer: True.

Explanation:

True, the incenter of a triangle is the center of the only circle that can be inscribed in it.

Because, incenter is the point of intersection of the all the angle bisectors of the three angles of the triangle which divided the each angle into two parts.

Hence, the incenter is the radius of the only largest circle that can be inscribed in it.