Question

The area of an equilateral triangle is 173.2 m
Find its perimeter​

Answer 1

Answer :

The perimeter of equilateral triangle is 60m

Step-by-step Explanation :

Given : Area of equilateral triangle = 173.2m

To find : perimeter of triangle = ?

We know that,

Area of equilateral triangle = √3/4 × a²

Where a = side of Triangle

Substituting the given value in above formula we get,

173.2 = √3/4 × a²

173.2 × 4/√3 = a²

173.2 × 4/1.732 = a²

100 × 4 = a²

400 = a²

a = 20 m

Also,

Perimeter of triangle = Sum of all the sides of triangle

= 3 × a

Perimeter of triangle = 3 × 20 = 60m

Answer 2

Answer:

Perimeter of equilateral triangle is $692.8\sqrt{3} \ cm$ .

Step-by-step explanation:

To find : perimeter of equilateral triangle .

Given :  area of an equilateral triangle is 173.2 $m ^{2}$ .

Solution :

• As per given data we know that , area of an equilateral triangle is

       173.2$m ^{2}$ .  

• To find perimeter we first find side of equilateral triangle by using following formula ,
• Area of equilateral triangle = $\frac{\sqrt{3} }{4}a^{2}$

         $173 .2 = \frac{\sqrt{3} }{4} a \\\\\sqrt{3} \ a = 173.2 \times 4 \\\\\sqrt{3} \ a = 692.8 \\\\ a= \frac{692.8}{\sqrt{3} } \ cm$  

• Now , side of equilateral triangle is $\frac{692.8}{\sqrt{3} } \ cm$ .

• Perimeter of equilateral triangle = $3a$  

                                                              $= 3\times \frac{692.8}{\sqrt{3} } \\\\=\sqrt{3} \times \sqrt{3} \times \frac{692.8}{\sqrt{3} } \\\\= \sqrt{3} \ \times 692.8 \\\\ = 692.8 \sqrt{3} \ cm$