In the figure below,
ABC is an isosceles triangle (AB = BC) with altitude BE = h. D is a point on CA
extended, r_{1} is the inradius of the triangle DAB and r_{2} is the exradius of
the triangle DBC corresponding to BC. Prove that r_{1} + r_{2}
= h.

*BD is called an exterior
cevian of triangle ABC. *

See also:

Typography of problem 1373.