All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Angle Bisector (Posted on 2013-10-06) Difficulty: 3 of 5

Let ABC be a triangle with a, b, and c the lengths of the
sides opposite vertices A, B, and C respectively.
Let the cevian CD bisect ∠ACB.

Prove the following:

    |CD|2 = ab[ 1-{c/(a+b)}2 ]

without using the Law of Cosines.

See The Solution Submitted by Bractals    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionPossible SolutionHarry2013-10-08 17:00:24
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
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:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information