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​Each side of an equilateral triangle is 6 cm long. What is its area (in cm²)?
Question

​Each side of an equilateral triangle is 6 cm long. What is its area (in cm²)?

A.

93\sqrt3​​

B.

636\sqrt3​​

C.

210

D.

21321\sqrt3​​

Correct option is A

Given:
Side of equilateral triangle = 6 cm.

Formula Used:
Area of equilateral triangle = 34a2\frac{\sqrt{3}}{4} a^2 

where a is the side

Solution: 

Putting the values in the formula;

Area=34×62=93\text{Area} = \frac{\sqrt{3}}{4} \times 6^2 = 9\sqrt{3} cm2 

Thus, the area of the equilateral triangle is 93 cm29\sqrt3 \ cm^2​​

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