Math, asked by harshravaliya34, 5 months ago

If the area of an equilateral triangle is 273 m2 Find its perimeter.​

Answers

Answered by chetanakhairnar2000
1

Answer:

[  ∴Perimeter(equilateral triangle) = 75.33 m  ]

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Step-by-step explanation:

Given triangle is the equilateral triangle

Hence, there all sides are equal

let length of all sides if equilateral triangle be x

now,

given, area(equilateral triangle) = 273 m²

We know that the formula for area(equilateral triangle)

area(equilateral triangle) = [(√3)/4]*x²

             273                       = [(√3)/4]*x²

              x²                         = 273 * [4/(√3)]

              x²                         = [1092/√3]

              x²                         = [1092/1.7321]

              x²                         = 630.48

              x                           = 25.11 m

∵ Perimeter(equilateral triangle) = 3 x

                                                     = 3 * 25.11

∴Perimeter(equilateral triangle) = 75.33 m

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