Question Details

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

Options

A

3√2

B

3

C

4

D

√3

Show Answer

Correct Answer :

Option B

3

Solution :

Correct Option: 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

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