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 Circumcenters and Incenters (Posted on 2017-02-19)

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 Solution Harry 2017-02-23 13:05:02
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