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Mathematics

Area of an equilateral triangle with each side 6 cm is:

  1. 36336\sqrt{3} cm2

  2. 939\sqrt{3} cm2

  3. 18318\sqrt{3} cm2

  4. 12312\sqrt{3} cm2

Area Trapezium Polygon

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Answer

Given:

Side of the equilateral triangle = 6 cm

Area of an equilateral triangle with each side 6 cm is: Area of a Trapezium and a Polygon, Concise Mathematics Solutions ICSE Class 8.

∵ As we know, the area of the equilateral triangle = 34×side2\dfrac{\sqrt{3}}{4} \times \text{side}^2

= 34×62\dfrac{\sqrt{3}}{4} \times 6^2 cm2

= 34×36\dfrac{\sqrt{3}}{4} \times 36 cm2

= 939\sqrt{3} cm2

Hence, option 2 is the correct option.

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