Question

Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is

• A. 3√2
• B. 3
• C. 4
• D. √3

Answer 1

The Correct Option is B

The correct answer is (B):
In ∆ABC, AB = 1 cm, BC = 1 cm
As ∠B = 120,
AC2 = 12 + 12 – 2(1) (1) cos (120°) (Cosine rule)
= 12 + 12 + 1 = 3
⇒ AC = √3 cm
The square of side √3 cm will have an area of (√3 )2 = 3 cm2