Schofield Spencer
11/27/2023 · Junior High School
1. Let ABC be a triangle with \( \mathrm{AB}=18, \mathrm{BC}=24 \), and \( \mathrm{CA}=20 \). Dis placed on AB such that \( \mathrm{AD}=15 \). E is placed on BC such that \( \mathrm{EC}=20 \). Call the intersection of lines AE and DC point F . Compute area of DEF\( ]^{2} \cdot \frac{2^{-3} \cdot 6^{3}}{5^{3}} \)
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The area of triangle \( DEF \) can be computed using the coordinates of points \( D \), \( E \), and \( F \), and then the expression \( \text{Area}(DEF)^2 \cdot \frac{2^{-3} \cdot 6^{3}}{5^{3}} \) can be simplified accordingly.
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