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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    
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  Subject Author Date
SolutionPossible SolutionHarry2013-10-08 17:00:24
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