In the figure below,
ABC is an isosceles triangle (AB = BC) D is a point on AC, r_{1}
and r_{2} are the exradii of the triangle ABD corresponding to AB
and AD, respectively; r_{3} and r_{4} are the exradii of the triangle
DBC corresponding to BC and CD, respectively. Prove that r_{1} + r_{2}
= r_{3} + r_{4}.

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

* *

See also:

Original problem 1377.

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.

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Geometry Problems

Ten problems: 1371-1380

Geometric Art

Sacred Geometry

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