Question

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✳Find the area of an equilateral triangle with sides 4√3 ( By Herons formula)

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Answer 1

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Answer 2

Area of Triangle = √S(S - a)(S - b)(S -c)

        where a , b and c are sides

                and S = ( a + b + c )/2.

Here,

S = (4√3 + 4√3 + 4√3)/2

= (12√3)/2

= 6√3  unit.

Area = √ 6 √3 ( 6√3 - 4√3)(6√3 - 4√3)(6√3 - 4√3)

        =√6√3 × 2√3 × 2√3 × 2√3

        = √ 2 × 2 × 2 × 2 × 3 × 3 × 3

       = 12√3 unit².

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