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Geometric and Arithmetic Area (Posted on 2014-08-15) Difficulty: 3 of 5
In triangle PQR, PQ=QR and RS is the altitude. PR is extended to point T such that QT=10.

The values of tan ∠RQT, tan ∠SQT and tan ∠PQT form a geometric sequence, and:
The values of cot ∠SQT, cot ∠RQT and cot ∠SQR form an arithmetic sequence.

Determine the area of the triangle PQR.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Where is S?_CORRIGENGUM | Comment 2 of 3 |
(In reply to Where is S? by Harry)

Just saw the comment.

INDEED, the altitude is QS instead of RS as mentioned in the problem.

This is a typographical anomaly which is regretted.

  Posted by K Sengupta on 2014-08-17 02:01:55

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