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Difference between revisions of "1967 IMO Problems/Problem 4"

(Fixed the problem and provided the location of the solution.)
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<math>\textbf{Solution:}</math> The solution to this problem can be found here: [https://artofproblemsolving.com/community/c6h21127p137262]
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==Solution==
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The solution to this problem can be found here: [https://artofproblemsolving.com/community/c6h21127p137262]
  
  
 
[[Category:Olympiad Geometry Problems]]
 
[[Category:Olympiad Geometry Problems]]
 
[[Category:Geometric Construction Problems]]
 
[[Category:Geometric Construction Problems]]

Revision as of 21:50, 1 August 2020

Let $A_0B_0C_0$ and $A_1B_1C_1$ be any two acute-angled triangles. Consider all triangles $ABC$ that are similar to $\triangle A_1B_1C_1$ (so that vertices $A_1$, $B_1$, $C_1$ correspond to vertices $A$, $B$, $C$, respectively) and circumscribed about triangle $A_0B_0C_0$ (where $A_0$ lies on $BC$, $B_0$ on $CA$, and $AC_0$ on $AB$). Of all such possible triangles, determine the one with maximum area, and construct it.


Solution

The solution to this problem can be found here: [1]

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