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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

User Ahn
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1 Answer

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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.
Which of the following is not involved in constructing a circle inscribed in a triangle-example-1
User Axtck
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