Question

The centre of an incircle is called incentre, Which of the following is true for an incentre ?

• A. It is equidistant from the sides of the triangle.
• B. It is equidistant from the vertices of the triangle.
• C. It is the point of intersection of the perpendicular bisectors of the sides of the triangle.
• D. It is the point of intersection of the angular bisectors of the triangle.

Answer 1

Answer: (A), (D)

The correct options are
A

It is equidistant from the sides of the triangle.

D

It is the point of intersection of the angular bisectors of the triangle.

Since the incircle passes through midpoints of all the sides, the distance between these sides and the centre will be same (inradius).