Question

question 10 of 10
the shortest distance from the center of the inscribed circle to the triangle’s sides is the circle’s ______.

a. diameter
b. incenter
c. circumference
d. radius

Explanation:

The inscribed circle (incircle) of a triangle is tangent to all three sides of the triangle. The distance from the center of a circle to any point on its circumference is the radius, and since the sides of the triangle are tangent to the incircle, the shortest distance from the incircle's center to the triangle's sides equals this distance. Option A is twice the radius, option B is the name of the center point, and option C is the perimeter of the circle, so none match the definition.

Answer:

D. radius