ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?

Answer: Option C

Solution

Answer: Option C

Solution:

$$\begin{array}{rl}& \text{ar }\Delta EDC=\frac{1}{2}\times ED\times DC\times \sin \angle EDC\\ & =\frac{1}{2}\times 12\times 12\times \sin 120^{\circ }\\ & =36\sqrt{3}\text{ c}{\text{m}}^2\end{array}$$