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Triangle ABCABCABC is right angled at CCC. ADADAD splits ∠BAC\angle BAC∠BAC in the ratio 2:1,2:1,2:1, where ∠CAD\angle CAD∠CAD is smaller.
If AC=2AC=2AC=2 and CD=1CD=1CD=1, find the length of BDBDBD.
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