NCERT Solution Class IX Mathematics Triangles Question 2 (Ex 7.5)

Question 2:

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

triangle.

Answer:

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

the triangle. 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 equidistant from all

the sides of ∆ABC.

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