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2019 AMC 10B Problem 10

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2019 AMC 10B Problem 10AMC 10 Step by Step
Name:                             Date: September 13, 2026
Geometric Optimization · difficulty 3 of 5 · about 3 min · position P1-10

In a given plane, points AA and BB are 1010 units apart. How many points CC are there in the plane such that the perimeter of △ABC\triangle ABC is 5050 units and the area of △ABC\triangle ABC is 100100 square units?

  1. A)

    00

  2. B)

    22

  3. C)

    44

  4. D)

    88

  5. E)

    infinitely many\text{infinitely many}

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