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"27. \\( \\Delta A B C \\) is right-angled at \\( B \\) and \\( D \\) is the midpoint of BC. Prove that \\( A C ^ { 2 } = 4 A D ^ { 2 } - 3 A B ^ { 2 } \\)\nA \\( A \\).\n\\[ \\frac { 6 } { B } = \\frac { 6 } { D } \\text { . } \\]"

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