Typography of Geometry Problem 1375: Isosceles Triangle, Interior Cevian, Exradius, Excircle, Altitude to the Base, iPad Apps

Proposition

In the figure below, ABC is an isosceles triangle (AB = BC) with altitude BE = h. D is a point on AC, r₁ is the exradius of the triangle ABD corresponding to AD and r₂ is the exradius of the triangle DBC corresponding to BC. Prove that r₂ - r₁ = h.

BD is called an interior cevian of triangle ABC.

 

See solution below

See also:
Original problem 1375.

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.