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∆ ABC is an equilateral triangle. D is a point on AC. BC is joined.
It is required to prove that, BC > BD.
In the ∆ ABD, ∠ BDC is the exterior angle,
∴ ∠BDC > ∠BAC
But since BC = AC
∴ ∠BAC = ∠BCA
∴ ∠BDC > ∠BCA
i. e, ∠BDC > ∠BCD
Hence, BC > BD.
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