1
$\begingroup$

How to calculate ratio of areas of the shaded triangle and the hexagon?

enter image description here

1 Answers 1

8

Observe that the hexagon is equivalent to 6 equilateral triangles, and the shaded region is equivalent to such a triangle with double height.

  • 0
    shaded triangle:hexagon == 2*1/6=1/3 =1:32012-09-16
  • 0
    Is this the answareshaded triangle:hexagon == 1:3?2012-09-16
  • 0
    @OMLoo: yes, it is2012-09-16
  • 0
    May I know the correct way to work out answer for triangle:hexagon ratio in this case?2012-09-17
  • 0
    $A_{\text{hex}}=6A_{\text{eqtri}}$; $A_{\text{shad}}=2A_{\text{eqtri}}$; $r=A_{\text{shad}}/A_{\text{hex}}=(2A_{\text{eqtri}})/(6A_{\text{eqtri}})=1/3$2012-09-17