perplexus.info :: Geometry : Ratio of Radii

Ratio of Radii (Posted on 2008-03-27)

Let r, R, and s be the inradius, circumradius, and semiperimeter of triangle ABC.
If /A ≥ 90°, prove that


    r     a sin(A)
   --- ≤ ----------
    R        2s

See The Solution Submitted by Bractals

Rating: 3.5000 (2 votes)

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

	Subject	Author	Date
	A useful intermediate!	Chesca Ciprian	2008-03-27 16:32:22

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info