In a triangle locate a point in its interior which is equidistant from all the sides of the triangle.

The point which is equidistant from all the sides of a triangle is called the in centre of the triangle.

In centre of a triangle is the intersection point of the angle bisectors of the interior angles of that triangle.

Here,

In ∆ABC, we can find the in centre of this triangle by drawing the angle bisectors of the interior angles of this triangle.

I is the point where these angle bisectors are intersecting each other.

Therefore,

I is the point equidistant from all

the sides of ∆ABC.