Question

The incenter of a triangle is also the center of

A. a circle circumscribing the triangle
B. a circle inscribed inside the triangle
C. mass and balance
D. all of these​

Answer 1

B.

Explanation:

That is obtained when you split the angle of each vertex into two equal parts and trace the bisector. The intersection point is the incenter or the center of the circle inscribed inside the triangle.

Answer 2

B. a circle inscribed inside the triangle

Explanation:

The incenter is the center of the inscribed circle. The incenter is the intersection of angle bisectors.

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The center of mass and balance is the centroid, the intersection of medians.