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