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.

Geometry Problems

Ten problems: 1371-1380

Visual Index

Open Problems

All Problems

Triangle

Isosceles triangle

Inradius

Exradius

Cevian

Circle

Altitude

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