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Circumcenters and Incenters (Posted on 2017-02-19) Difficulty: 3 of 5

Let I be the incenter of ΔABC.

Let A', B', and C' be the circumcenters of ΔIBC, ΔICA. and ΔIAB.

Prove the following:

   A) For each X ∈ {A,B,C} ( line XI intersects the circumcircle of
        ΔABC again at X' ).

   B) Area(ΔA'B'C') / Area(ΔABC) = R / 2r, where R and r are the

         circumradius and inradius of ΔABC respectively.

No Solution Yet Submitted by Bractals    
Rating: 5.0000 (1 votes)

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  Subject Author Date
SolutionSolutionHarry2017-02-23 13:05:02
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