Area Comparison
Geometry
Level
1
In the regular 6-sided star, which area is larger?
Blue Area
Green Area
Equal Area
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1 solution
Each of the 6 blue equilateral triangle has the same area as the adjacent green (formed by the sides and diagonals of the hexagon) equilateral triangle (since they share a side and all of their sides are equal henceforth).
(In other words, each of the 6 blue equilateral triangle can be "folded" on the adjacent green equilateral triangle.)
Therefore, the total blue and the green have an:
Equal area