\( A D \) is an altitude of an equilateral \( \triangle A B C \). On \( A D \) as base another e...

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\( A D \) is an altitude of an equilateral \( \triangle A B C \).
On \( A D \) as base another equilateral triangle \( A D E \) is
constructed. Prove that ar \( (\triangle A D E): \operatorname{ar}(A B C)=3: 4 \)
\( \equiv \)
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