In the given figure, PQRSTU is a regular hexagon of side 12 cm. What is the area (in cm2) of triangle SQU?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 108√3
Side of hexagon = 12 cm
Each internal angle = 180o - 360o/6 = 120o
Hence,
Area of △SQU = AR(hexagon) - (Ar△PUQ + Ar△STU + Ar △SRQ)
= 6 × √3/4 × 122 - 3 × 1/2 × 12 × 12 × sin 120o
= 216√3 - 108√3
= 108√3 cm2