Difference between revisions of "1964 IMO Problems/Problem 3"
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Revision as of 11:38, 16 July 2009
Problem
A circle is inscribed in a triangle 
with sides 
. Tangents to the circle parallel to the sides of the triangle are contructed. Each of these tangents cuts off a triangle from 
. In each of these triangles, a circle is inscribed. Find the sum of the areas of all four inscribed circles (in terms of ).
Solution
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