How to calculate ratio of areas of the shaded triangle and the hexagon?
How to calculate ratio of areas of the shaded triangle and the hexagon?
1
$\begingroup$
geometry
1 Answers
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$A_{\text{hex}}=6A_{\text{eqtri}}$; $A_{\text{shad}}=2A_{\text{eqtri}}$; $r=A_{\text{shad}}/A_{\text{hex}}=(2A_{\text{eqtri}})/(6A_{\text{eqtri}})=1/3$ – 2012-09-17