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