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jmc

prealgebra senior

Problem

In square , point is the midpoint of side and point is the midpoint of side . What is the ratio of the area of triangle to the area of square ? Express your answer as a common fraction.
Solution
Let each side of the square have length . Then . So the area of the triangle is . The area of the square is . The ratio of the two areas is .
Final answer
\frac{1}{8}