In an isosceles \( \triangle A B C \), the base \( A B \) is produc...

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In an isosceles \( \triangle A B C \), the base \( A B \) is produced both the ways to \( P \) and \( Q \) such that \( A P \times B Q=A C^{2} \). Prove that \( \triangle A P C \sim \triangle B C \).
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