Triangle \( A B C \) is right angle at \( A \). The points \( P \) and \( Q \) are on hypotenuse...

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Triangle \( A B C \) is right angle at \( A \). The points \( P \) and \( Q \) are on hypotenuse \( B C \) such that \( B P=P Q=Q C \). If \( A P=3 \) and \( A Q=4 \), then length \( B C \) is equal to
(A) \( 3 \sqrt{5} \)
(B) \( 5 \sqrt{3} \)
(C) \( 4 \sqrt{5} \)
(D) 7
\( \mathrm{P} \)
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