Difference between revisions of "1962 IMO Problems/Problem 6"
(New page: ==Problem== Consider an isosceles triangle. Let <math>r</math> be the radius of its circumscribed circle and <math>\rho</math> the radius of its inscribed circle. Prove that the distance <...) |
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Revision as of 18:09, 30 December 2008
Problem
Consider an isosceles triangle. Let be the radius of its circumscribed circle and
the radius of its inscribed circle. Prove that the distance
between the centers of these two circles is
![$d=\sqrt{r(r-2p)}$](http://latex.artofproblemsolving.com/0/5/1/051a64f293508aad41b5262146f6db9cb1553d06.png)
Solution
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See Also
1962 IMO (Problems) • Resources | ||
Preceded by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 7 |
All IMO Problems and Solutions |