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    What is the area of an equilateral triangle whose each side is 14 cm long?
    Question

    What is the area of an equilateral triangle whose each side is 14 cm long?

    A.

    21√3 cm²

    B.

    14√3 cm²

    C.

    35√3 cm²

    D.

    49√3 cm²

    Correct option is D

    Given:
    Side length of the equilateral triangle (a) = 14 cm
    Formula Used:
    The area of an equilateral triangle with side length a;
    Area = 34a2\frac{\sqrt{3}}{4} a^2​​
    Solution:
    Substituting a = 14 cm into the formula:
    Area=34×(14)2\text{Area} = \frac{\sqrt{3}}{4} \times (14)^2​​
    Area=34×196\text{Area} = \frac{\sqrt{3}}{4} \times 196​​
    =493 cm2= 49\sqrt{3} \text{ cm}^2​​
    Therefore, Area of the equilateral triangle is 493 cm2.\bf 49\sqrt{3} \text{ cm}^2.​​

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