Question

Point p is the incenter of triangle rst. which must be true?

Answer 1

Answer:b

Explanation:

Midline

Answer 2

The correct option is 2.

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.

`PA=PB=PC`

Since these line segments are equal therefore we can say that

`BP\cong PC`

Option 2 is correct.