Right triangle — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses 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).
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
2000 AMC 10 Problem 19 • 2002 AMC 10A Problem 13 • 2004 AMC 10B Problem 22 • 2006 AMC 10B Problem 24 • 2007 AMC 10A Problem 14 • 2007 AMC 10B Problem 21 • 2009 AMC 10A Problem 10 • 2009 AMC 10A Problem 17 • 2009 AMC 10B Problem 10 • 2015 AMC 10A Problem 21 • 2015 AMC 10B Problem 19 • 2017 AMC 10A Problem 21 • 2017 AMC 10B Problem 15 • 2017 AMC 10B Problem 21 • 2018 AMC 10A Problem 16 • 2018 AMC 10A Problem 23 • 2019 AMC 10B Problem 15 • 2020 AMC 10B Problem 8 • 2023 AMC 10B Problem 3
AMC 12
1950 AMC 12 Problem 32 • 1950 AMC 12 Problem 35 • 1951 AMC 12 Problem 32 • 1951 AMC 12 Problem 49 • 1952 AMC 12 Problem 22 • 1952 AMC 12 Problem 24 • 1954 AMC 12 Problem 29 • 1954 AMC 12 Problem 35 • 1954 AMC 12 Problem 43 • 1955 AMC 12 Problem 9 • 1956 AMC 12 Problem 38 • 1958 AMC 12 Problem 19 • 1958 AMC 12 Problem 36 • 1959 AMC 12 Problem 15 • 1959 AMC 12 Problem 32 • 1960 AMC 12 Problem 40 • 1961 AMC 12 Problem 38 • 1963 AMC 12 Problem 6 • 1965 AMC 12 Problem 25 • 1965 AMC 12 Problem 30 • 1967 AMC 12 Problem 21 • 1967 AMC 12 Problem 33 • 1968 AMC 12 Problem 12 • 1972 AMC 12 Problem 1 • 1972 AMC 12 Problem 20 • 1972 AMC 12 Problem 25 • 1972 AMC 12 Problem 30 • 1973 AMC 12 Problem 9 • 1974 AMC 12 Problem 23 • 1978 AMC 12 Problem 26 • 1979 AMC 12 Problem 21 • 1980 AMC 12 Problem 5 • 1980 AMC 12 Problem 7 • 1980 AMC 12 Problem 23 • 1982 AMC 12 Problem 21 • 1982 AMC 12 Problem 22 • 1983 AMC 12 Problem 5 • 1983 AMC 12 Problem 24 • 1984 AMC 12 Problem 17 • 1984 AMC 12 Problem 27 • 1986 AMC 12 Problem 3 • 1986 AMC 12 Problem 11 • 1986 AMC 12 Problem 21 • 1987 AMC 12 Problem 22 • 1992 AMC 12 Problem 11 • 1992 AMC 12 Problem 27 • 1993 AMC 12 Problem 27 • 1999 AMC 12 Problem 21 • 2002 AMC 12B Problem 20 • 2004 AMC 12B Problem 14 • 2007 AMC 12A Problem 10 • 2007 AMC 12B Problem 23 • 2013 AMC 12A Problem 1 • 2014 AMC 12B Problem 21 • 2015 AMC 12A Problem 16 • 2015 AMC 12B Problem 11 • 2015 AMC 12B Problem 19 • 2017 AMC 12A Problem 19 • 2019 AMC 12B Problem 12 • 2023 AMC 12A Problem 15 • 2023 AMC 12B Problem 3 • 2024 AMC 12A Problem 10