In an equilateral triangle \( \mathrm{ABC} \), if \( \mathrm{AD} \perp \mathrm{BC} \), then a. \...

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In an equilateral triangle \( \mathrm{ABC} \), if \( \mathrm{AD} \perp \mathrm{BC} \), then
a. \( 2 \mathrm{AB}^{2}=3 \mathrm{AD}^{2} \)
b. \( 3 \mathrm{AB}^{2}=4 \mathrm{AD}^{2} \)
c. \( 4 \mathrm{AB}^{2}=3 \mathrm{AD}^{2} \)
d. \( 5 \mathrm{AB}^{2}=4 \mathrm{AD}^{2} \)
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