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

**Solution:**

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

The incentre 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 incentre 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 which is equidistant from all the sides of ∆ABC that is IP = IQ = IP.

**Video Solution:**

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

### NCERT Maths Solutions Class 9 - Chapter 7 Exercise 7.5 Question 2:

**Summary:**

In ΔABC, a point located in its interior which is equidistant from all the sides of the triangle is the Incenter(I).