geometry
Altitude — AMC & AIME Problems
43 problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Altitude — 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: Altitudes and Perpendiculars, Triangle Area in Terms of Base and Height.
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
AMC 12
- 1950 AMC 12 Problem 47
- 1954 AMC 12 Problem 29
- 1955 AMC 12 Problem 21
- 1956 AMC 12 Problem 30
- 1957 AMC 12 Problem 1
- 1958 AMC 12 Problem 19
- 1958 AMC 12 Problem 36
- 1959 AMC 12 Problem 2
- 1961 AMC 12 Problem 8
- 1962 AMC 12 Problem 23
- 1964 AMC 12 Problem 35
- 1967 AMC 12 Problem 13
- 1970 AMC 12 Problem 7
- 1976 AMC 12 Problem 16
- 1978 AMC 12 Problem 26
- 1984 AMC 12 Problem 17
- 1986 AMC 12 Problem 28
- 1986 AMC 12 Problem 29
- 1989 AMC 12 Problem 7
- 1990 AMC 12 Problem 27
- 2003 AMC 12B Problem 22
- 2005 AMC 12B Problem 6
- 2009 AMC 12B Problem 13
- 2013 AMC 12B Problem 19
- 2015 AMC 12B Problem 11
- 2016 AMC 12B Problem 17
- 2019 AMC 12A Problem 25
- 2024 AMC 12B Problem 24
- 2025 AMC 12A Problem 11
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