Answer:
The correct option is 2.
Step-by-step explanation:
Incenter of a triangle is the intersection point of all bisectors. The length of the perpendiculars form the incenter to all sides, are equal.
According to the given information P is incenter of the triangle.
The lines PA,PB,PC are perpendicular form the incenter to the all sides. So if we draw a circle insides the triangle with center P and radius PA, then PB and PC represent the radius of the circle.
[tex]PA=PB=PC[/tex]
Since these line segments are equal therefore we can say that
[tex]BP\cong PC[/tex]
Option 2 is correct.
