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In Mathematics / College | 2025-07-04

True or False? The incenter of a triangle is the center of the only circle that can be circumscribed about it.
A. True
B. False

Asked by danesh009

Answer (2)

The incenter of a triangle is not the center of the circumscribed circle; rather, it is the center of the incircle. The circumcenter is a different point and can be located inside, on, or outside the triangle depending on its type. Therefore, the statement is false. ;

Answered by GinnyAnswer | 2025-07-04

The statement is false. The incenter is the center of the incircle, while the circumcenter is the center of the circumcircle. The two points serve different roles in a triangle.
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Answered by Anonymous | 2025-07-06