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Perpendicular Bisectors of a Triangle Meet

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Explanations 1

The circumcircle of a triangle is the unique circle going through the three vertices. The center of this circle is the circumcenter. You may ask, where's the proof? First, let's…
By Vincent Huang, Victor Wang

Problems 2

Donald has a triangle ABCABCABC with side lengths AB=5AB = 5AB=5, AC=6AC = 6AC=6, and BC=7BC = 7BC=7. He intersects the perpendicular bisectors of ABABAB and ACACAC to get a poi…
In triangle ABCABCABC, angles A,B,CA,B,CA,B,C have degree measures 50,60,7050,60,7050,60,70, respectively. Find the degree measure of angle BOCBOCBOC, where OOO is the circumcen…