Math, asked by palbadriprasad2, 9 months ago

If the area of equilateral triangle is 16√3cmsq.,then perimeter of the triangle is ​

Answers

Answered by KushagraKataria
6

Area of an equilateral triangle = 16✓3 cm²

✓3/4 × (Side)² = 16✓3

(Side)² = 16✓3×4/✓3

Side² = 64

Side = ✓64 = 8

Therefore,

Perimeter of an equilateral triangle = 3 × (Side) = 3 × 8 = 24 cm

Answered by nandanasreeja15
5

Answer:

Perimeter = 24 cm

Step-by-step explanation:

Area of Equilateral triangle = √3 / 4 (side)²

                               16√3  = √3 / 4 (side)²

                               16 x 4 = √3 / √3 (side)²

                                    64 =  (side)²

                                  side = 8 cm

Perimeter = 3 x side

               = 3 x 8

               = 24 cm

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