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Seeking Sums With Inradius And Exradius (Posted on 2007-10-08) Difficulty: 3 of 5
Triangle PQR is equilateral with PQ = QR = RP = 2. The line QP is extended to meet at point S such that P lies between S and Q.

Y is length of the inradius of Triangle SPR while Z is the length of the exradius of Triangle SQR with respect to the side QR.

Determine Y+Z.

  Submitted by K Sengupta    
Rating: 3.0000 (1 votes)
Solution: (Hide)
Y+Z = sqrt(3)


Refer to the solution posted by Bractals in this location.

The generalization to the given problem as submitted by Bractals can be found here.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsProblem GeneralizationBractals2007-10-08 23:00:26
Idea of a solution (no proof listed just yet)Mike C2007-10-08 15:38:45
SolutionSolutionBractals2007-10-08 14:26:24
SolutionAnswer -- almost a proofCharlie2007-10-08 11:25:46
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