Difference between revisions of "1957 AHSME Problems/Problem 48"
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Revision as of 19:17, 16 October 2021
Problem
Let be an equilateral triangle inscribed in circle . is a point on arc . Lines , , and are drawn. Then is:
Solution
Since quadrilateral is inscribed in circle , thus it is a cyclic quadrilateral. By Ptolemy's Theorem, Because is equilateral, we cancel out , , and to get that