Angle bisector theorem — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Angle bisector theorem — 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
2004 AMC 10B Problem 24 • 2009 AMC 10B Problem 20 • 2010 AMC 10A Problem 16 • 2018 AMC 10A Problem 24 • 2022 AMC 10A Problem 13 • 2025 AMC 10A Problem 23
AMC 12
1953 AMC 12 Problem 28 • 1959 AMC 12 Problem 28 • 1961 AMC 12 Problem 31 • 1965 AMC 12 Problem 30 • 1966 AMC 12 Problem 11 • 1967 AMC 12 Problem 21 • 1975 AMC 12 Problem 26 • 1981 AMC 12 Problem 25 • 1983 AMC 12 Problem 19 • 2000 AMC 12 Problem 17 • 2000 AMC 12 Problem 19 • 2002 AMC 12A Problem 23 • 2008 AMC 12A Problem 20 • 2009 AMC 12B Problem 16 • 2010 AMC 12A Problem 14 • 2016 AMC 12A Problem 12 • 2016 AMC 12B Problem 17 • 2018 AMC 12A Problem 18 • 2018 AMC 12B Problem 12 • 2025 AMC 12A Problem 8