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In triangle PQT, R is on side PT such that QR = QP.  Also, QS is an altitude, and QT = 10.  The values of tan CBE, tan CBE, tan SQT form an arithmetic progression, and the values of cot SQT, cot RQT, cot SQR form a geometic progression.  Find the area of triangle PQT.

 Mar 8, 2023
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Typo ?

C, B, E ?

 Mar 8, 2023

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