I'm curious... Is it true, and, if so, is it straightforward to show that the maximum area triangle that can squeeze between these circles is equilateral?

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TopNewestYou can model this on a co-ordinate grid, circles of radius 1 centered at (0,-1) and (+-1, \(\sqrt{3}-1\)). I couldn't really get anywhere, though. Probably a geometric solution is optimal, but I've never been good at those. – Alex Li · 1 month, 2 weeks ago

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how i can,understand noah – Biswajit Barik · 2 months, 3 weeks ago

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Actually yes you are right. I misunderstood the question – Shrunkhal Wankhede · 2 months, 4 weeks ago

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How a triangle can have curved sides – Shrunkhal Wankhede · 2 months, 4 weeks ago

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– Geoff Pilling · 2 months, 4 weeks ago

It can't have curved sides... I am talking about squeezing a triangle (which has straight sides) in that little space in the middle (which has curved sides).Log in to reply

Actual Yes – Noah Smalls · 4 months, 1 week ago

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– Geoff Pilling · 4 months, 1 week ago

Sounds good... Do you know how to show it?Log in to reply

– Noah Smalls · 4 months, 1 week ago

Yes The area of all 4 circles are equal to the area of the 4 trianglesLog in to reply