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

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The point that is equidistant from all sides of a triangle is known as the incentre of the triangle. It is basically an intersection point of the angle bisectors of the interior angles of that triangle. Here, in ΔABC, we can find the incentre of this triangle by drawing the angle bisectors of...
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The point that is equidistant from all sides of a triangle is known as the incentre of the triangle. It is basically an intersection point of the angle bisectors of the interior angles of that triangle.

Here, in ΔABC, 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 ΔABC.

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