1953 AMC 12 Problem 37
Attempt Problem 37 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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37.
The base of an isosceles triangle is inches and one of the equal sides is inches. The radius of the circle through the vertices of the triangle is:
none of these
Answer: E
Small Hint:
Drop the altitude to split the base into two segments of length
Big Hint:
Find the area, then use
Solution:
The altitude is so the area is Hence the circumradius is This value is not listed.
Thus, the correct answer is E.
Problem 37 in Other Years
1950 AMC 12 · 1951 AMC 12 · 1952 AMC 12 · 1954 AMC 12 · 1955 AMC 12 · 1956 AMC 12 · 1957 AMC 12 · 1958 AMC 12 · 1959 AMC 12 · 1960 AMC 12 · 1961 AMC 12 · 1962 AMC 12 · 1963 AMC 12 · 1964 AMC 12 · 1965 AMC 12 · 1966 AMC 12 · 1967 AMC 12