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Question
billiards a triangle used to rack pool balls is shown. would the circumcenter be found inside the triangle? no, the circumcenter is found in the exterior of the triangle. yes, the circumcenter is in the interior of the triangle.
Step1: Recall circumcenter rules
The circumcenter is the intersection of perpendicular bisectors. For acute triangles, it's inside; for right, on hypotenuse; for obtuse, outside.
Step2: Analyze the triangle
The pool rack triangle (△DEF) is acute (all angles < 90°), so circumcenter is inside.
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Yes, the circumcenter is in the interior of the triangle.