satisfy that: 
,![\[
\sqrt{a + b} + \sqrt{b + c} + \sqrt{c + a} \geq \frac{4(ab + bc + ca)}{\sqrt{(a + b)(b + c)(c + a)}}
\]](http://latex.artofproblemsolving.com/e/7/2/e72fd0f134289c359bc8766440babc52ae131961.png)
satisfied 
Find the minimum of 
Y by Mango247, Mango247
Three ribbons of the same width are laid as in the picture, forming equilateral triangles. The perimeter of the internal triangle 
cm, the perimeter of each quadrangle on crossing the ribbons is 
cm. Find the perimeter of the outer triangle. Be sure to justify your answer.
(A. Shapovalov)
cm, the perimeter of each quadrangle on crossing the ribbons is 
cm. Find the perimeter of the outer triangle. Be sure to justify your answer.(A. Shapovalov)
This post has been edited 2 times. Last edited by parmenides51, Apr 14, 2021, 4:30 AM
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