1963 AHSME Problems/Problem 22
Problem
Acute-angled is inscribed in a circle with center at ; and .
A point is taken in minor arc such that is perpendicular to . Then the ratio of the magnitudes of and is:
Solution
Because and , . Also, and , so . Since , . Finally, is an isosceles triangle, so . Because , the ratio of the magnitudes of and is , which is answer choice .
See Also
1963 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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