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    Find the area of an equilateral triangle with a side length of 10 cm.
    Question

    Find the area of an equilateral triangle with a side length of 10 cm.

    A.

    28√3 cm²

    B.

    18√3 cm²

    C.

    22√3 cm²

    D.

    25√3 cm²

    Correct option is D

    Given:
    Side length of the equilateral triangle, a = 10 cm
    Formula Used:
    Area=34a2\text{Area} = \frac{\sqrt{3}}{4} a^2​​
    Solution:
    Area=34×102 Area=34×100 Area=253 cm2\text{Area} = \frac{\sqrt{3}}{4}\times10^2\\ \ \\\text{Area}=\frac{\sqrt{3}}{4}\times100\\ \ \\ \text{Area} =25\sqrt{3}\ cm^2 
    Thus, correct option is (d).

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