Law of sines — AMC & AIME 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.
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
1972 AMC 12 Problem 14 • 1973 AMC 12 Problem 15 • 1982 AMC 12 Problem 23 • 1983 AMC 12 Problem 30 • 1985 AMC 12 Problem 28 • 1993 AMC 12 Problem 23 • 2019 AMC 12A Problem 19 • 2021 AMC 12A Spring Problem 24 • 2021 AMC 12B Fall Problem 9 • 2024 AMC 12B Problem 22
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