1956 AMC 12 Problem 30
Attempt Problem 30 of the 1956 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 1956 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
30.
If the altitude of an equilateral triangle is then the area is:
Answer: B
Small hint:
For side length an equilateral triangle has altitude
Big hint:
Once is known, use area
Solution:
Let the side length be From we get Hence the area is
Thus, the correct answer is B.
Problem 30 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1957 AMC 12
- 1958 AMC 12
- 1959 AMC 12
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- 1964 AMC 12
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