geometry
Law of sines — AMC & AIME Problems
29 problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Law of sines — a geometry concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
LIVE focuses on challenge. As a social enterprise, we also explain standard school concepts one at a time, for free, on our sister site Expii. For this idea: Law of Sines, Extended Law of Sines.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
Filter by difficulty
These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 10
AMC 12
AIME
- 1989 AIME Problem 10
- 1996 AIME Problem 15
- 1999 AIME Problem 14
- 2000 AIME I Problem 14
- 2003 AIME I Problem 10
- 2003 AIME II Problem 7
- 2007 AIME I Problem 12
- 2008 AIME I Problem 10
- 2008 AIME I Problem 15
- 2010 AIME II Problem 15
- 2011 AIME II Problem 10
- 2013 AIME II Problem 15
- 2014 AIME II Problem 11
- 2014 AIME II Problem 14
- 2018 AIME I Problem 13
- 2018 AIME II Problem 14
- 2020 AIME II Problem 15
- 2023 AIME II Problem 3
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