1956 AMC 12 Problem 27
Attempt Problem 27 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).
27.
If an angle of a triangle remains unchanged but each of its two including sides is doubled, then the area is multiplied by:
more than
Answer: C
Small hint:
Use the area formula for two sides and their included angle
Big hint:
Doubling both side factors multiplies their product by
Solution:
If the included sides are and and their unchanged angle is the original area is After both sides are doubled, the area is
Thus, the correct answer is C.
Problem 27 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
- 1960 AMC 12
- 1961 AMC 12
- 1962 AMC 12
- 1963 AMC 12
- 1964 AMC 12
- 1965 AMC 12
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- 1967 AMC 12
- 1968 AMC 12
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- 1978 AMC 12
- 1979 AMC 12
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- 1995 AMC 12
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- 1999 AMC 12