perplexus.info :: Shapes : Concurrency and Ratio Product Puzzle

Concurrency and Ratio Product Puzzle (Posted on 2015-06-06)

In triangle ABC - P, Q and R are respectively on the sides BC, AC, and AB. Given that AP, BQ , and CR are concurrent at the point O , and that:
AO/OP + BO/OQ + CO/OR = 15 , find (AO/OP)*(BO/OQ)*(CO/OR)

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(AO/OP)*(BO/OQ)*(CO/OR) =17.
For an explanation, refer to the attempt by Jer in this location.
No one tried for a definitive proof.

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

	Subject	Author	Date
	Answer / no solution	Jer	2015-06-09 12:06:23

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