1996 AMC 12 Problem 28
Attempt Problem 28 of the 1996 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 1996 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
28.
On a rectangular parallelepiped, vertices and are adjacent to vertex The perpendicular distance from to the plane containing and is closest to
Answer: C
Small hint:
Place at the origin with the three adjacent edges along coordinate axes
Big hint:
Write the intercept form of the plane through
Solution:
Put and take the adjacent vertices as Their plane is Its distance from the origin is closest to Thus the correct answer is C.
Problem 28 in other years
- 1950 AMC 12
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