1953 AMC 12 Problem 34
Attempt Problem 34 of the 1953 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1953 AMC 12 solutions, or check the answer key.
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34.
If one side of a triangle is inches and the opposite angle is degrees, then the diameter of the circumscribed circle is:
inches
inches
inches
inches
none of these
Answer: C
Small hint:
Relate a side, its opposite angle, and the circumdiameter
Big hint:
The extended law of sines gives
Solution:
By the extended law of sines, the circumdiameter is inches.
Thus, the correct answer is C.