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Centroid And Summed Ratios (Posted on 2008-01-17) Difficulty: 3 of 5
PQR is a triangle with its centroid at the point N and the circumcircle of PQR is denoted by L. The line segments PN, QN and RN meet L again respectively at the points S, T and U.

The respective lengths of the line segments PN, QN, RN, NS, NT and NU are denoted by a, b, c, d, e and f.

Determine (a/d + b/e + c/f).

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
answer (no proof)Daniel2008-01-18 09:25:26
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