See complete Problem 160

Triangle, Incircle, Incenter, Circumcircle, Circumcenter, Inradius. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

## Monday, August 11, 2008

### Elearn Geometry Problem 160

Labels:
circumcenter,
circumcircle,
diameter,
incenter,
incircle,
inradius,
orthic triangle,
Problem 154,
Problem 155,
Problem 160

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d=R-(r-OI)=R-r+OI,e=R-r-OI.

ReplyDeleteSo, de=(R-r)²-OI²=(R²-2Rr-OI²)+r².

But, OI²=R²-2Rr (Problem 155)

∴de=r²

http://ahmetelmas.wordpress.com/2010/05/15/geo-geo/

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