AMC 10 Step by Step
2018 AMC 10AProblem 16P16-20~4 minPrint

Right triangle ABCABC has leg lengths AB=20AB=20 and BC=21BC=21 . Including AB\overline{AB} and BC\overline{BC} , how many line segments with integer length can be drawn from vertex BB to a point on hypotenuse AC\overline{AC} ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.