Question

Which statement correctly describes the location of the incenter of a triangle?

Question 15 options:

A)

The incenter is equidistant from all three vertices of the triangle.

B)

The incenter is equidistant from all three sides of the triangle.

C)

The incenter is closest to the shortest side of the triangle.

D)

The incenter is closest to the longest side of the triangle.

Answer 1

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Answer:

B) The incenter is equidistant from all three sides of the triangle.

Explanation:

The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.