28.Find the perimeter of the equilateral triangle whose area is given below * 16√3 cm²

Question

28.Find the perimeter of the equilateral triangle whose area is given below *
16√3 cm²

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Ariana 1 week 2021-09-10T12:20:00+00:00 2 Answers 0 views 0

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    0
    2021-09-10T12:21:13+00:00

    Answer:

    refer the image…………………………………..

    0
    2021-09-10T12:21:46+00:00

    Answer:

    Perimeter of the equilateral triangle = 24 cm

    Step-by-step explanation:

    We know that,

    Perimeter of an Equilateral triangle = 3a, because it has 3 equal sides.

    Now, we are given,

    Area = 16√3 cm²

    We know that,

    Area of equilateral triangle = (a²√3)/4

    where a is the the side of the triangle

    Thus,

    (a²√3)/4 = 16√3

    (a²√3)= 4 × (16√3)

    a²√3 = 64√3

    a² = (64√3)/√3

    a² = 64

    a = √64

    a = 8 cm

    Thus, the side of the Equilateral triangle = 8 cm

    ∴ Perimeter of the equilateral triangle = 3(8) = 24 cm

    Hope it helped and you understood it……..All the best

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