Mathematics

Problem

Use the figure below to answer the question. ![A diagram of an equilateral triangle ABC. A dashed line segment AD is drawn from vertex A to the base BC, representing the altitude. The length of side AC is labeled 10 in. Point D is the foot of the altitude on BC.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T100114Z/a66aed5a261e4e2ca1dab4ea58c4ee6d/935eed7aa61f7777f62cfc032e11bee9_img.jpg)

\triangle ABC

is equilateral and each side measures 10 inches (in.). Segment DC is equal to 5 in. What is the length of

\overline{AD}

? A.

5\sqrt{2}

in. B.

5\sqrt{3}

in. C.

10\sqrt{2}

in. D.

10\sqrt{3}

in.

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