Difference between revisions of "1964 IMO Problems/Problem 3"
(Created page with '== Problem == A circle is inscribed in a triangle <math>ABC</math> with sides <math>a,b,c</math>. Tangents to the circle parallel to the sides of the triangle are contructed. Eac…') |
(→Solution) |
||
Line 3: | Line 3: | ||
== Solution == | == Solution == | ||
+ | {{solution}} |
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
This problem needs a solution. If you have a solution for it, please help us out by adding it.