Let a point A lie between the parallel lines L_1 and L_2 such that its distances from L_1 and L_2 are 6 and 3 units, respectively. Then the area (in…

Let a point A lie between the parallel lines $\displaystyle \mathrm{L}_1$ and $\displaystyle \mathrm{L}_2$ such that its distances from $\displaystyle \mathrm{L}_1$ and $\displaystyle \mathrm{L}_2$ are $\displaystyle 6$ and $\displaystyle 3$ units, respectively. Then the area (in sq. units) of the equilateral triangle ABC, where the points B and C lie on the lines $\displaystyle \mathrm{L}_1$ and $\displaystyle \mathrm{L}_2$, respectively, is :