MathDB

In the triangle

ABC

, the lengths of the sides

BC, CA

and

AB

are

a,b

and

c{}

respectively. Several segments are drawn from the vertex

C{}

, which cut the triangle

ABC

into several triangles. Find the smallest number

M{}

for which, with each such cut, the sum of the radii of the circles inscribed in triangles does not exceed

M{}

.
Porposed by O. Titov

Problem Statement