Prove that the least perimeter of an iso...

Prove that the least perimeter of an isosceles triangle in which a circle of radius r can be inscribed is `6sqrt3r`.

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from diagram we get
AE=AF and
BE=BD=DC=CF
perimeter of triangle=AB+BC+CA
P(x)=AE+BE+BD+DC+CF+FA
P(x)=2AE+4BE
`triangleAEO`
tanx=`(OE)/(AE)`
...

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