In the given figure, PQRSTU is a regular hexagon of side 12 cm. What is the area (in cm2) of triangle SQU?

In the given figure, PQRSTU is a regular hexagon of side 12 cm. What is the area (in cm²) of triangle SQU?

Answer: Option C

Solution

Answer: Option C

Solution:

$$\begin{array}{rl}& \text{Area of }\Delta \text{SQU}=\frac{1}{2}\text{ area of hexagon}\\ & =\frac{1}{2}\times \left[6\times \frac{\sqrt{3}}{4}{\left(12\right)}^2\right]\\ & =\frac{1}{2}\times 216\sqrt{3}\\ & =108\sqrt{3}\text{ c}{\text{m}}^2\end{array}$$