Geometry Problem 291: Triangle, Circle, Circumradius, Perpendicular.

Proposition

In the figure below, ABC is a triangle with circumradius R. DE is perpendicular to BC and DF is perpendicular to AB. If AC = b, BD = d, and EF =e, prove that 2R.e = b.d.
 

Geometry Problem 291: Triangle, Circle, Circumradius, Perpendicular
 

See also
Conformal Mapping or Transformation of Problem 291

Art of Geometry Problem 291 using Mobile Apps. Circle Patterns

 

Art of problem 291 Triangle, Circle, Circumradius, Perpendicularpatterns, using mobile apps, iPad, iPhone


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.