1985 AHSME Problems/Problem 22
Problem
In a circle with center , is a diameter, is a chord, and . Then the length of is
Solution
Since is an angle inscribed in a arc, we obtain , so is a -- right triangle. This gives and , and now since is a diameter, . The fact that is a diameter also means that , so is again a -- right triangle, yielding and , which finally gives .
See Also
1985 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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