Mathematics
If AD = AE and BD = CE then :
△ ADE ~ △ ACB
△ ABC ~ △ ACB
△ ABD ~ △ ABC
△ ADE ~ △ ABC
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Answer
Given,
⇒ AD = AE = x (let)
⇒ BD = CE = y (let)
From figure,
⇒ AB = AD + BD = x + y
⇒ AC = AE + EC = x + y
In △ ADE and △ ABC,
⇒ ∠DAE = ∠BAC
⇒
∴ △ ADE ~ △ ABC (By S.A.S. postulate)
Hence, Option 4 is the correct option.
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