Which is Shorter?
Geometry
Level
3
In this regular nonagon, which is shorter, or ?
They are both equal
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1 solution
If we connect A and F with a line AF, and did the same with two more lines with AC and CG (C is 2 vertex away from both A and E), we can see 2 different size of equilateral triangles 'accidentally' constructed, the bigger ACX and the smaller one FGX (X is where straight line AF crosses straight line CG).
AE = AF
= AX + XF
= IG + GF