1992 AMC 8 Problem 17
Attempt Problem 17 of the 1992 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 1992 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
17.
The sides of a triangle have lengths and where is a whole number. What is the smallest possible value of
Answer: B
Small hint:
For a triangle, the two shorter sides must add to more than the longest side
Big hint:
You need ; find the smallest whole number
Solution:
By the triangle inequality, must exceed the longest side so
The smallest whole number greater than is and it does form a valid triangle.
Thus, the correct answer is B .
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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