A regular hexagon can be divided into 6 congruent equilateral triangles if O is the center. However, the conditions $\angle$ AOF = 90° and FO || ED indicate O is not the center in the standard configuration. Coordinate geometry can be used to determine the position of O and calculate the areas.
In the figure below, ABCDEF is a regular hexagon. $\angle$ AOF = 90° and FO || ED. What is the ratio of the area of the triangle AOF to that of the hexagon ABCDEF?
Asked in GPSC Prelims CSP 1 2022 · Topic: Mechanics (Newton's Laws of Motion and their applications)
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