Question

the area of an equilateral triangle is 4 root 3 cm square find.the perimeter ​

Answer 1

Step-by-step explanation:

• area of equilateral triangle = √3/4 a²
• 4√3 = √3/4 a²
• 4 = a²/4
• 4*4= a²
• 16 = a²
• 4 = a
• Answer = 4cm.

Answer 2

The perimeter of equilateral triangle is 12 cm.

Given - Area

Find - Perimeter

Solution - Area of equilateral triangle = $\frac{\sqrt{3} }{4} {a}^{2}$

Keep the values in formula to find the side of equilateral triangle.

$4 \sqrt{3} = \frac{ \sqrt{3} }{4} {a}^{2}$

${a}^{2} = \frac{4 \sqrt{3} \times 4}{ \sqrt{3} }$

${a}^{2} = 16$

$a = \sqrt{16}$

$a = 4 \: cm$

Perimeter = 3*side

Perimeter = 3*4

Perimeter = 12 cm

Hence, the perimeter of equilateral triangle is 12 cm.

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