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Question -

Ina triangle locate a point in its interior which is equidistant from all thesides of the triangle.



Answer -

Thepoint which is equidistant from all the sides of a triangle is called theincentre of the triangle. Incentre of a triangle is the intersection point ofthe angle bisectors of the interior angles of that triangle.

Here,in ΔABC, we can find the incentre of this triangle by drawing the anglebisectors of the interior angles of this triangle. I is the point where theseangle bisectors are intersecting each other. Therefore, I is the pointequidistant from all the sides of ΔABC.

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