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2013 AMC 10A Problem 15

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2013 AMC 10A Problem 15AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangles: Area & Pythagorean · difficulty 2 of 5 · about 3 min · position P11-15

Two sides of a triangle have lengths 1010 and 1515 . The length of the altitude to the third side is the average of the lengths of the altitudes to the two given sides. How long is the third side?

  1. A)

    66

  2. B)

    88

  3. C)

    99

  4. D)

    1212

  5. E)

    1818

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