and are acute-angled triangles. Describe, and prove, how to construct the triangle with the largest possible area which is circumscribed about (so contains contains , and contains ) and similar to
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$A_0B_0C_0$ and $A_1B_1C_1$ are acute-angled triangles. Describe, and prove, how to construct the triangle $ABC$ with the largest possible area which is circumscribed about $A_0B_0C_0$ (so $BC$ contains $B_0, CA$ contains $B_0$, and $AB$ contains $C_0$) and similar to $A_1B_1C_1.$
Izvor: Međunarodna matematička olimpijada, shortlist 1967
Školjka 
and 
are acute-angled triangles. Describe, and prove, how to construct the triangle 
with the largest possible area which is circumscribed about 
contains 
contains 
, and 
contains 
) and similar to 