The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.

Question

cwrw238 · Answer

area of the triangle = sqrt(18*(18-12)^3) = 62.354 sq ins

so this is also the area of the hexagon

so whats the next step?

cwrw238 · Answer

area of hexagon =  3*sqrt3 * t^2
                              -------
                                   2

cwrw238 · Answer

so equate this to 62.354 and solve for t   (t = length of each side of the hexagon)

cwrw238 · Answer

ok ? any questions?

anonymous · Answer

No thx

cwrw238 · Answer

i used heros formula for finding area of triangle
Area = sqrt [(s(s-a)(s-b)(s-c)]     where a,b and c are lengths of 3 sides and  s = half of perimeter

cwrw238 · Answer

ok