Go Geometry Problems

Dynamic Geometry Problem 896: Triangle, Orthocenter, Midpoint, Median, Intersecting Circles, Diameter, Collinear Points. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). Levels: School, College, Mathematics Education

In a triangle ABC (see the dynamic figure above), H is the orthocenter, D midpoint of AB and E midpoint of CD. Circles of diameter AB and CD intersect at F and G. Prove that F, H, G are collinear.

Dynamic Geometry of Problem 896
The interactive demonstration above was created with GeoGebra.

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To reset the interactive figure to its initial state: tap the icon in the upper right corner.
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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.
 

Dynamic Geometry Problem 896: Triangle, Orthocenter, Midpoint, Median, Intersecting Circles, Diameter, Collinear Points. HTML5 Animation for Tablets
 


 

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