There is an square with side length of 1. and so that the perimeter of triangle is 2. Show that .

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- Apr 8th 2010, 10:10 AMjames_bondSquare
There is an square with side length of 1. and so that the perimeter of triangle is 2. Show that .

- Apr 8th 2010, 12:08 PMrunning-gag
Hi

I have found a solution but don't know if it is the simplest one !

Let x=BE and y=BF

We know that (perimeter of triangle EBF)

On one hand

On the other hand

Combining the 2 latter relations and using you can show that