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2015 AMC 10B Problem 19

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2015 AMC 10B Problem 19AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 4 of 5 · about 7 min · position P16-20

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?

  1. A)

    12+9312+9\sqrt{3}

  2. B)

    18+6318+6\sqrt{3}

  3. C)

    12+12212+12\sqrt{2}

  4. D)

    3030

  5. E)

    3232

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