Go Geometry Problems

Dynamic Geometry Problem 889: Carnot's Theorem in an acute triangle, Circumcenter, Circumradius, Inradius. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). Levels: School,  College, Mathematics Education

The dynamic figure below shows an acute triangle ABC, prove that the sum of the distances (OA1, OB1, OC1, ) from the circumcenter O to the sides, is equal to the sum of the circumradius (R) and the inradius (r).
 


 

Dynamic Geometry of Problem 889
The interactive demonstration above was created with GeoGebra.

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GeoGebra
GeoGebra is free and multi-platform dynamic mathematics software for all levels of education that joins geometry, algebra, tables, graphing, statistics and calculus application, intended for teachers and students. Many parts of GeoGebra have been ported to HTML5. It has received several educational software awards in Europe and the USA.
 

9: Carnot's Theorem in an acute triangle, Circumcenter, Circumradius, Inradius. GeoGebra, HTML5 Animation for Tablets
 


 

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