Difference between revisions of "2012 AIME II Problems/Problem 15"
Williamhu888 (talk | contribs) (Created page with "== Problem 15 == Triangle <math>ABC</math> is inscribed in circle <math>\omega</math> with <math>AB=5</math>, <math>BC=7</math>, and <math>AC=3</math>. The bisector of angle <mat...") |
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Revision as of 16:13, 31 March 2012
Problem 15
Triangle is inscribed in circle with , , and . The bisector of angle meets side at and circle at a second point . Let be the circle with diameter . Circles and meet at and a second point . Then , where and are relatively prime positive integers. Find .