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GalinKa [24]
3 years ago
5

Find the

Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0

Answer:

54 cm

Step-by-step explanation:

The area (A) of an equilateral triangle is

A = \frac{s^2\sqrt{3} }{4}  ( s is the side length ) then

\frac{s^2\sqrt{3} }{4} = 81\sqrt{3} ( multiply both sides by 4 to clear the fraction )

s²\sqrt{3} = 324\sqrt{3} ( divide both sides by \sqrt{3} )

s² = 324 ( take the square root of both sides )

s = \sqrt{324} = 18

Thus

perimeter = 3 × 18 = 54 cm

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%282%20-%206x%29%20-%204%28x%20%20%2B%20%20%5Cfrac%7B3%7D%7B2%7D%29%20
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