1964 AMC 12 Problem 29
Attempt Problem 29 of the 1964 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 1964 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
29.
In this figure inches, inches, inches, and inches. The length of in inches, is:
undetermined
Answer: E
Small hint:
Compare triangles and around the marked equal angles
Big hint:
The adjacent side ratios are
Solution:
At the equal included angles, Thus by SAS. Side corresponds to so
Therefore, the correct answer is E.
Problem 29 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 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
- 1965 AMC 12
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