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​

Answer 1

Given that ABCDEF be a regular hexagon with each side of length of 1 cm.

We have to find the area of a square with AC as one side.

ABO is the equilateral triangle with each side having length of 1 cm and ABCO is the rhombus.

Altitude of an equilateral triangle = √3a/2

So AP = √3/2 × 1

Where AP = PC

⟹ AC = AP + PC

⟹ AC = √3/2 × 2

⟹ AC = √3

Area of a square = a*a sq.units

Area of the square with AC as one side = √3 × √3 = 3 sq units

Answer

3 sq cm

Answer 2

Step-by-step explanation:

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