Geometry Problem 1436: Right Triangle, Altitude, Excircles, Excenters, Geometric Mean, Art, Poster
Proposition
The figure shows a right triangle ABC with the altitude BH. D and E are the excenters of triangles AHB and BHC, respectively. Prove that BH is the geometric mean of HD and HE that is: \(BH = \sqrt{HD.HE}\).
Geometric Art using iPad or Mobile Apps
Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.
A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.