1996 AMC 8 Problem 17
Attempt Problem 17 of the 1996 AMC 8 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 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
17.
Figure is a square. Point is the origin, and point has coordinates What are the coordinates for so that the area of triangle equals the area of square
Answer: C
Small hint:
The square has side so its area is also and the base is vertical with length
Big hint:
If its horizontal distance from line is
Solution:
Since is a square with and we have and so the area is
Triangle has vertical base of length and lies on the -axis. Its area is Setting gives or Only appears among the choices, so
Thus, the correct answer is C .
Problem 17 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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