1995 AHSME Problems/Problem 19

Problem

Equilateral triangle $DEF$ is inscribed in equilateral triangle $ABC$ such that $\overline{DE} \perp \overline{BC}$ . The reatio of the area of $\triangle DEF$ to the area of $\triangle ABC$ is

$\mathrm{(A) \ \frac {1}{6} } \qquad \mathrm{(B) \ \frac {1}{4} } \qquad \mathrm{(C) \ \frac {1}{3} } \qquad \mathrm{(D) \ \frac {2}{5} } \qquad \mathrm{(E) \ \frac {1}{2} }$

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1995 AHSME Problems/Problem 19

Problem

Solution

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