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What is the minimum possible perimeter of a triangle two of whose sides are along the $x$- and $y$-axes and such that the third contains the point $(1,1)$?

 Dec 22, 2023
 #1
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Here's what I think :

 

This will be a right triangle with legs = 2  and hypotenuse = 2sqrt (2)

 

Minimum perimeter =   2 + 2 + 2sqrt (2) =   4 + 2sqt (2)  

 

cool cool cool

 Dec 22, 2023
edited by CPhill  Dec 22, 2023

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