Question

Where is the point of concurrency of the angle bisectors of a triangle?

Answer 1

Answer:

The point of concurrency of the angle bisectors of a triangle is inside the triangle.

Step-by-step explanation:

Considering the triangle ΔABC as shown in attached figure.

As it is clear that

• The three angle bisectors of a triangle intersect at one point.
• Incenter is basically the point of concurrency of the angle bisectors.
• Each point on the angle bisector is at equal distance from the sides of the angle.

As the triangle's incenter is always located inside the triangle, so we can conclude that the point of concurrency of the angle bisectors of a triangle is inside the triangle.

Therefore, the point of concurrency of the angle bisectors of a triangle is inside the triangle

Please check the attached figure below.

Keywords: angle bisectors of a triangle, point of concurrency

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