1983 AHSME Problems/Problem 10
Problem
Segment is both a diameter of a circle of radius and a side of an equilateral triangle . The circle also intersects and at points and , respectively. The length of is
Solution
Note that since is a diameter, , which means is an altitude of equilateral triangle . It follows that is a triangle, and so .
See Also
1983 AHSME (Problems • Answer Key • Resources) | ||
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Followed by Problem 11 | |
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