For construction of incircle of a triangle we have to draw.
a. Bisectors of any two angles of the triangle b. Bisectors of any two sides of the triangle
c. Both a and b d. None of there
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Argument Reason
1 I is the incenter of the triangle ABC. By construction.
See Triangle incenter construction for method and proof.
2 IM is perpendicular to AB By construction.
See Constructing a perpendicular to a line from a point for method and proof.
3 IM is the radius of the incircle From (2), M is the point of tangency
4 Circle center I is the incircle of the triangle Circle touching all three sides.
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a. Bisectors of any two angles of the triangle b. Bisectors of any two sides of the triangle.
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