1959 AMC 12 Problem 22
Attempt Problem 22 of the 1959 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 1959 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
22.
The line joining the midpoints of the diagonals of a trapezoid has length If the longer base is then the shorter base is:
Small hint:
Recall the length of the segment joining the diagonal midpoints of a trapezoid
Big hint:
It equals half the difference of the base lengths
Solution:
If the shorter base is the diagonal-midpoint segment has length half the difference of the bases: Thus and
Therefore, the correct answer is C.
Problem 22 in other years
- 1950 AMC 12
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