perplexus.info :: Geometry : Seeking Sums With Inradius And Exradius

Seeking Sums With Inradius And Exradius (Posted on 2007-10-08)

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)

EXPLANATION:

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
Problem Generalization	Bractals	2007-10-08 23:00:26
Idea of a solution (no proof listed just yet)	Mike C	2007-10-08 15:38:45
Solution	Bractals	2007-10-08 14:26:24
Answer -- almost a proof	Charlie	2007-10-08 11:25:46

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