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Circumcenters and Incenters (Posted on 2017-02-19) |
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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
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Submitted by Bractals
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Rating: 5.0000 (1 votes)
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Subject |
Author |
Date |
| Solution | Harry | 2017-02-23 13:05:02 |
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