Which of the following is not involved in constructing a circle inscribed in a triangle?
A- angle bisectors
B- perpendicular bisectors
C- incenter of a triangle
D- center of a circle

Respuesta :

Constructing an a circle inscribed in a triangle involves these steps:

i) Draw 2 (or 3) of the angle bisectors. Their point of intersection is the center of the inscribed circle, or the incenter. Let's denote this point by O

ii) Draw a perpendicular line segment from the incenter to one of the sides. Let the intersection of the perpendicular from O and the side be T.

iii) Draw a circle with center the incenter, and radius the distance  OT.


Answer: B) Only perpendicular bisectors are not involved.
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