perplexus.info :: Geometry : Circle And Intersection

Circle And Intersection (Posted on 2008-01-25)

P, Q and R are three points located on a circle L with diameter 4 and satisfying PQ = QR. Point S is located inside L in such a manner that QR = RS = SQ. The line passing through P and S intersects L at the point T.

Determine the length of ST.

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

ST equals the radius of circle L, so that the required length of ST is 2.

EXPLANATION:

Refer to the solution submitted by Bractals in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution	K Sengupta	2008-03-08 12:07:37
Solution	Bractals	2008-01-29 17:30:11
Isoceles power	Steve Herman	2008-01-28 23:31:39
Solution Attempt	Brian Smith	2008-01-26 18:11:24
assumption	Charlie	2008-01-25 15:38:54
solution (no proof of uniqueness)	Daniel	2008-01-25 11:43:33

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