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2018 AMC 10AProblem 13P11-15~4 minPrint
Transformations & SymmetrySimilar & Congruent TrianglesTriangles: Area & PythagoreanAdd construction lines/points (drop altitudes, extend segments, connect centers)Set up the equation/formula and compute; no special trick needed

A paper triangle with sides of lengths 3,4,3,4, and 55 inches, as shown, is folded so that point AA falls on point BB . What is the length in inches of the crease? figure

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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.