AMC 10 Step by Step
2015 AMC 10BProblem 19P16-20~7 minPrint

In ABC\triangle{ABC} , C=90\angle{C} = 90^{\circ} and AB=12AB = 12 . Squares ABXYABXY and ACWZACWZ are constructed outside of the triangle. The points X,Y,ZX, Y, Z , and WW lie on a circle. What is the perimeter of the triangle?

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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.