perplexus.info :: Geometry : 5 equilaterals

5 equilaterals (Posted on 2021-09-10)

A, B, C, D, E, F, G are points in order along the circumference of a circle.

W, X, Y, Z are points in order along chord AG.

ABW, WCX, XDY, YEZ, ZFG are equilateral triangles.

If AB=1, find the side lengths of the other four triangles.

No Solution Yet Submitted by Jer

Rating: 5.0000 (2 votes)

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For what it's worth

| Comment 4 of 8 |

Wolfram Alpha identifies a possible closed form of 3.6855439326708

as:

A root of x^4 - 4 x^3 + 4 x + 1 ≈3.68554393267079294

Posted by Charlie on 2021-09-12 16:01:39

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