# Geometry Problem 1436: Right Triangle, Altitude, Excircles, Excenters,
Geometric Mean, Art, Poster

See solution below

### 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: \(BH = \sqrt{HD.HE}\).

See solution below

### 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.