2007-02-01 04:07:18 · 3 answers · asked by nicoledsmnd 1 in Science & Mathematics ➔ Mathematics
Use the apothem as one side of a right triangle drawn form the centrum to the side making a right angle with the side. Then the right triangle formed with a line from the centrum to the apex is the hypotenuse with teh apothem as the side adjacent = 3 and the side opposite as 1/2(2sqr[3]) = sqr[3].
Area of this right triangle is (1/2)(sqr[3])(3) = (3/2)sqr[3]
The area of the whole hexagon is this times twelve:
A = 12(3/2)sqr[3] = 18sqr[3]
2007-02-01 04:18:56 · answer #1 · answered by kellenraid 6 · 0⤊ 0⤋
A hexagon contain 6 equilateral triangles - so the realm of one triangle is 35/6 = 5.eighty 3 the realm of an equilateral triangle is (a million/4)s² ?3 . . . (it truly is a gorgeous good formula to bear in ideas) 5.eighty 3 = (a million/4)s²?3 . . . sparkling up for s wonderful one kaboom!
2016-12-03 07:55:46 · answer #2 · answered by ? 4 · 0⤊ 0⤋
area = 6(1/2)(2√3)(3) = 18√3
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Idea: Cut the regular hexagon into 6 congruent triangles.
2007-02-01 04:13:32 · answer #3 · answered by sahsjing 7 · 0⤊ 0⤋