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2005 AMC 10B Problem 14

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2005 AMC 10B Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangles: Area & Pythagorean · difficulty 2 of 5 · about 3 min · position P11-15

Equilateral △ABC\triangle ABC has side length 22 , MM is the midpoint of AC‾\overline{AC} , and CC is the midpoint of BD‾\overline{BD} . What is the area of △CDM\triangle CDM ? figure

  1. A)

    22\frac {\sqrt {2}}{2}

  2. B)

    34\frac {3}{4}

  3. C)

    32\frac {\sqrt {3}}{2}

  4. D)

    11

  5. E)

    2\sqrt {2}

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