the area of a regular hexagon is given as 384√3

a. how long is each side of a hexagon
b. find the radius of a hexagon
c. find the apothem of a hexagon

5 answers

A regular hexagon can be divided into 6 equal equilateral triangles.
So each one has an area of 64√3
let's look at one of those.
Area of a triangle = (1/2)absinØ, where a and b are sides with Ø as their contained angle.
If each side is x, then
(1/2)x^2 sin60° = 64√3
(1/2) x^2 (√3/2) = 64√3
x^2 = 256
x = 16

take it from here
Two triangles area similar the sides of one area 4,6,and 7cm,the short est side of the ather is 10cm calculate the lengths of the other two sides of this triangle
A. 4 B.2
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