abc is an equilateral triangle.D is any point on AC.Prove BD>AD
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Consider the triangle △ADB.
∠BAD=60
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and ∠ABD<∠ABC⟹∠ABD<60
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Now, in a triangle, side opposite larger angle is greater than the side opposite smaller angle.
Hence, as BD is opposite ∠BAD, AD is opposite ∠ABD and we saw that ∠ABD<∠BAD=60
∘
,
∴BD>AD
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This is the right answer
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