Question

Question 8 of 10

True or False? The shortest distance from the center of the circumscribed
circle to the sides of the inscribed triangle is the circle's radius.
OA. True
OB. False

Answer 1

The shortest distance from the center of the circumscribed circle to the sides of the inscribed triangle is the circle's radius.

Step-by-step explanation:

The statement is True. The shortest distance from the center of the circumscribed circle to the sides of the inscribed triangle is indeed the circle's radius. This is because the center of the circumscribed circle coincides with the circumcenter of the triangle, and the circumcenter is equidistant from each of the triangle's vertices, which lie on the sides. Therefore, the distance from the center of the circumscribed circle to any side of the inscribed triangle is equal to the radius of the circle.

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