3 circles

Inscribe three equal circles in a given triangle.
That is these circles have to be mutually tangent, and each side should touch at least one circle

Smallest circles ?
Largest circles ?

Hint
Details (with Applet)

Note :
This problem is different of that of the Malfatti circles which is to inscribe various radius circles, each touching two sides, and of the Malfatti problem which is to inscribe circles with the maximal overall area.
We'll study these later...

 

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