AMC 10 Step by Step
2019 AMC 10BProblem 15P11-15~5 minPrint

Right triangles T1T_1 and T2T_2 have areas 1 and 2, respectively. A side of T1T_1 is congruent to a side of T2T_2 , and a different side of T1T_1 is congruent to a different side of T2T_2 . What is the square of the product of the other (third) sides of T1T_1 and T2T_2 ?

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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.