1959 AMC 12 Problem 43
Attempt Problem 43 of the 1959 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 1959 AMC 12 solutions, or check the answer key.
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43.
The sides of a triangle are and The diameter of the circumscribed circle is:
Answer: B
Small hint:
Use Heron’s formula with semiperimeter
Big hint:
After finding the area use and double the circumradius
Solution:
The semiperimeter is so Heron’s formula gives If is the circumradius, then Hence the diameter is
Thus, the correct answer is B.