https://en.wikipedia.org/wiki/Malfatti_circlesIn the picture, if the radius of each circle is 4 cm, can anyone tell me how long is the side of the equilateral triangle?
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spectrumgomas@functional.cafe's status on Thursday, 03-Jun-2021 16:19:51 CEST spectrumgomas -
Elias Mårtenson (loke@functional.cafe)'s status on Thursday, 03-Jun-2021 20:25:51 CEST Elias Mårtenson @spectrumgomas well I'd take the tangent of the line, and since I know the angle I can then compute the intersection point and from there easily calculate the side length. Now, I'm on my phone right now so I'm not going to actually solve it.
Anyway, I'm sure there is some clever solution that doesn't require trigonometry?
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spectrumgomas@functional.cafe's status on Thursday, 03-Jun-2021 22:15:00 CEST spectrumgomas @loke @tfb I don't see it. tag 60 = sqr(3) = h / (l/2) -> l = 2h/(sqr 3) , but it isn't related with the radius of the circles.
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