1954 AMC 12 Problem 8
Attempt Problem 8 of the 1954 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 1954 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
8.
The base of a triangle is twice as long as a side of a square and their areas are the same. Then the ratio of the altitude of the triangle to the side of the square is:
Answer: C
Small hint:
Let the square’s side be and the triangle’s altitude be
Big hint:
Equate with
Solution:
If the square side is the triangle base is Equal areas give Thus so the requested ratio is
The correct answer is C.
Problem 8 in other years
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