1971 AMC 12 Problem 26
Attempt Problem 26 of the 1971 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 1971 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
26.
In triangle point divides side in the ratio Let be the point where side meets where is the midpoint of Then divides in the ratio:
Answer: B
Small hint:
Assign endpoint masses so that
Big hint:
The midpoint condition makes the masses at and equal
Solution:
Use mass points. Since assign masses and to and so the mass at is Because is the midpoint of the mass at is also Therefore
Therefore, the correct answer is B.
Problem 26 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
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- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
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