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Angle Ratio Ascertainment 4 (Posted on 2016-06-26) Difficulty: 3 of 5
Each of the points S and T lie on side PQ of the triangle PQR, and

(PS /SQ )*(PT/TQ) = (PR/RQ)2

Find: ∠ PRS/∠ QRT.

No Solution Yet Submitted by K Sengupta    
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Thoughts Comment 1 of 1
If PQR is isosceles then PR/RQ = 1 and angle(PRS)/angle(QRT) = 1.  S and T will satisfy the inequality as long as PS=TQ.

If I start with any triangle PQR and point S, then the position of T can be calculated to satisfy the given equality.

  Posted by Brian Smith on 2016-06-27 09:23:48
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