Without using the direct formula, find the area of an equilateral triangle with each side 2a.

Without using the direct formula, find the area of an equilateral triangle with each side 2a.

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1 thought on “Without using the direct formula, find the area of an equilateral triangle with each side 2a.”

  1. Step-by-step explanation:

    The sides of triangle are a,a,a units

    s=

    2

    a+a+a

    =

    2

    3a

    Using Heron’s formula

    Area of equilateral triangle is

    s(s−a)(s−b)(s−c)

    =

    2

    3a

    ×

    2

    a

    ×

    2

    a

    ×

    2

    a

    =

    2

    3

    a

    2

    Reply

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