Mathematics
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
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.
The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of triangle intersect.
Since,
In the given figure, P is intersection of an angle bisector and perpendicular bisector of a side.
Hence, Option 4 is the correct option.
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Related Questions
A regular octagon is circumscribing a circle, the angle subtended by each side of the regular octagon at the center of the circle is :
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side of hexagon is smaller than the radius of the circle.
Incenter of a triangle is the point of intersection of the :
perpendicular bisector of its sides
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none of these.
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