The side of the regular hexagon is two times smaller than its large diagonal. The smaller diagonal of a regular hexagon is the leg of the right triangle, the hypotenuse of which is the larger diagonal, and the side of the hexagon is the second leg. If x is the side of the hexagon, then 2x is its large diagonal and 4×2 – x2 = 9. Therefore, x = √3, and the large diagonal is 2√3. b) A regular hexagon is composed of six regular triangles with an area of 0.75√3. Therefore, the area of the hexagon is 4.5√3.
Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.