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# Maximizing a triangle

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?

Note by Geoff Pilling
11 months, 2 weeks ago

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You 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.

- 8 months, 1 week ago

how i can,understand noah

- 9 months, 3 weeks ago

Actually yes you are right. I misunderstood the question

- 9 months, 4 weeks ago

How a triangle can have curved sides

- 9 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).

- 9 months, 4 weeks ago

Actual Yes

- 11 months, 1 week ago

Sounds good... Do you know how to show it?

- 11 months, 1 week ago

Yes The area of all 4 circles are equal to the area of the 4 triangles

- 11 months, 1 week ago

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