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Which term describes the point where the three angle bisectors of a triangle intersect?

User Pio
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2 Answers

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I believe it is called the incenter
4 votes

Answer:

The point where the three angle bisectors of a triangle is incentre.

Explanation:

Let a triangle ABC and its three angle bisector of a triangle intersect at a point O.

The point O is called point of incentre where three angle bisector of a triangle intersects.

Incentre: Incentre is define as the point where the three angle bisector of a triangle meet .

Properties of Incentre:

1. Centre of incircle: The incentre is the centre of the triangle's incircle , the largest circle which fir inside the triangle and touch all its three sides .

2. Always inside the a triangle: The triangle's incentre is always lie inside the triangle.Adjust the triangle by dragging any vertex and see that it will never go outside of the triangle.

It is possible to find the incentre of triangle by using compass and straightedge.

Which term describes the point where the three angle bisectors of a triangle intersect-example-1
User Warif Akhand Rishi
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