Question

The three angle bisectors of a triangle are concurrent. Their point of concurrence is called the ____.


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Answer 1

Answer:

Orthocentre. or point of concurrency.

Step-by-step explanation:

The three angle bisectors of a triangle intersect at a single point. The point of concurrency of the angle bisectors is called the incenter. The three altitudes of a triangle are concurrent. The point of concurrency is called the orthocenter.

Answer 2

The three angle bisectors of a triangle are concurrent. Their point of concurrence is called the incenter.

• The three angle bisectors of a triangle are concurrent i.e, they intersect at a single point.
• The point of concurrency of the angle bisectors is called the incenter.

1. The incenter is the center of the circle inscribed.

2. The incenter is at equal distance to each side of the triangle.

Some more concurrence points:

• The point of concurrence of all medians of a triangle is called the centriod.
• Circumcentre is the point of concurrence of the perpendicular bisectors of the sides of the triangle.
• Orthocentre is the point of concurrence of perpendicular drawn from the vertices on opposite sides of a triangle.

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