Mathematics
Incenter of a triangle is the point of intersection of the :
perpendicular bisector of its sides
bisectors of its angles
one perpendicular of its side and bisector of any one angle of it
none of these.
Constructions
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Answer
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.
Hence, Option 2 is the correct option.
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Related Questions
For a regular hexagon inscribed in a circle, the radius of the circle and the length of a side of the hexagon are :
equal
not equal
equal, if hexagon is regular
not equal, if hexagon is regular.
A regular octagon is circumscribing a circle, the angle subtended by each side of the regular octagon at the center of the circle is :
60°
30°
45°
(2 × 8 - 4) × 90°
For a regular hexagon, inscribing a circle, the length of the side of the hexagon and the radius of the circle are :
equal
not equal
side of hexagon is bigger than the radius of the circle
side of hexagon is smaller than the radius of the circle.
In the given figure, AP is bisector of angle A of △ ABC and DP is perpendicular bisector of side AB, then :
P is incenter of △ ABC
P is circumcenter of △ ABC
PB bisects angle B
none of these