Special right triangle — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Special right triangle — 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).
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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
2000 AMC 10 Problem 7 • 2001 AMC 10 Problem 20 • 2002 AMC 10B Problem 24 • 2003 AMC 10A Problem 17 • 2004 AMC 10B Problem 16 • 2004 AMC 10B Problem 25 • 2005 AMC 10A Problem 19 • 2005 AMC 10A Problem 20 • 2007 AMC 10A Problem 15 • 2007 AMC 10A Problem 19 • 2008 AMC 10A Problem 16 • 2008 AMC 10B Problem 14 • 2009 AMC 10B Problem 16 • 2010 AMC 10A Problem 14 • 2010 AMC 10B Problem 16 • 2010 AMC 10B Problem 20 • 2011 AMC 10B Problem 20 • 2012 AMC 10B Problem 12 • 2012 AMC 10B Problem 14 • 2013 AMC 10B Problem 7 • 2014 AMC 10A Problem 22 • 2015 AMC 10A Problem 19 • 2019 AMC 10B Problem 8 • 2020 AMC 10B Problem 21 • 2021 AMC 10B Spring Problem 20 • 2022 AMC 10A Problem 5 • 2024 AMC 10A Problem 14 • 2024 AMC 10A Problem 22 • 2025 AMC 10B Problem 13
AMC 12
1954 AMC 12 Problem 46 • 1957 AMC 12 Problem 31 • 1957 AMC 12 Problem 47 • 1966 AMC 12 Problem 6 • 1969 AMC 12 Problem 15 • 1973 AMC 12 Problem 4 • 1973 AMC 12 Problem 25 • 1974 AMC 12 Problem 16 • 1978 AMC 12 Problem 7 • 1980 AMC 12 Problem 5 • 1983 AMC 12 Problem 10 • 1984 AMC 12 Problem 8 • 1985 AMC 12 Problem 22 • 2001 AMC 12 Problem 24 • 2002 AMC 12A Problem 22 • 2008 AMC 12A Problem 13 • 2010 AMC 12A Problem 8 • 2010 AMC 12B Problem 13 • 2011 AMC 12B Problem 10 • 2016 AMC 12B Problem 13 • 2018 AMC 12B Problem 11 • 2018 AMC 12B Problem 25 • 2020 AMC 12B Problem 18 • 2025 AMC 12B Problem 10