Hexagon : Triangle
Geometry
Level
3
Find the ratio of the area of the regular hexagon to the area of the shaded region.
Refer to the above diagram
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6 of the same right triangles make up an equilateral triangle, and 6 of the same equilateral triangles make up a hexagon.
Area of Hexagon : area of Shaded Triangle
= number of STs that can be contained in a Hexagon : 1
= 6 × 6 : 1
= 36 : 1