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प्रश्न
Find the perimeter of an equilateral triangle whose area is `16sqrt(3)"cm"`.
उत्तर
We know that, Area of an equilateral triangle(A) of side a is
A = `sqrt(3)/(4)"a"^2`
Here, A = `16sqrt(3)`
⇒ `16sqrt(3) = (sqrt(3))/(4)"a"^2`
⇒ 16 = `"a"^2/(4)`
⇒ 4 x 16 = a2
⇒ a
= 2 x 4
= 8
i.e. side of the equilateral triangle is 8cm
The perimeter of an equilateral triangle of side a = 3a
⇒ The Perimeter of an equilateral triangle of side 8cm
= 3 x 8
= 24cm.
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