2003 AMC 10A Problem 7
Below is the professionally curated solution for Problem 7 of the 2003 AMC 10A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2003 AMC 10A solutions, or check the answer key.
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Difficulty rating: 1250
7.
How many non-congruent triangles with perimeter have integer side lengths?
Solution:
The longest side cannot exceed since otherwise the other two sides could not reach it.
The only possibilities are side lengths -- and -- giving triangles.
Thus, the correct answer is B.
Problem 7 in Other Years
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