In the figure below, ABC is an isosceles triangle (AB = BC) with altitude BE = h. D is a point on CA extended, r1 is the inradius of the triangle DAB and r2 is the exradius of the triangle DBC corresponding to BC. Prove that r1 + r2 = h.
BD is called an exterior
cevian of triangle ABC.
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Typography of problem 1373.
Geometry Problems
Ten problems: 1371-1380
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Triangle
Isosceles triangle
Inradius
Exradius
Cevian
Circle
Altitude
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