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If the area of an equilateral triangle is 24√3m² Then it's perimeter is?
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If the area of an equilateral triangle is 24√3m² Then it's perimeter i...
Perimeter of an Equilateral Triangle
An equilateral triangle is a special type of triangle in which all three sides are equal in length. To find the perimeter of an equilateral triangle, we need to know the length of one side. However, in this question, we are given the area of the equilateral triangle, not the length of the side.
Finding the Length of the Side
Since the area of the equilateral triangle is given as 24√3m², we can use the area formula of an equilateral triangle to find the length of one side.
The formula for the area of an equilateral triangle is:
Area = (√3/4) * s²
where s is the length of one side.
Let's substitute the given area into the formula and solve for s:
24√3m² = (√3/4) * s²
To simplify the equation, we can cancel out √3 on both sides:
24m² = (1/4) * s²
Multiplying both sides by 4 to eliminate the fraction:
96m² = s²
Taking the square root of both sides:
s = √96m²
s = √(16 * 6)m
s = 4√6m
Finding the Perimeter
Now that we know the length of one side, we can find the perimeter of the equilateral triangle by multiplying the length of one side by 3.
Perimeter = 3 * s
Perimeter = 3 * 4√6m
Perimeter = 12√6m
Conclusion
The perimeter of the equilateral triangle with an area of 24√3m² is 12√6m.
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If the area of an equilateral triangle is 24√3m² Then it's perimeter is?
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If the area of an equilateral triangle is 24√3m² Then it's perimeter is? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If the area of an equilateral triangle is 24√3m² Then it's perimeter is? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the area of an equilateral triangle is 24√3m² Then it's perimeter is?.
If the area of an equilateral triangle is 24√3m² Then it's perimeter is? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If the area of an equilateral triangle is 24√3m² Then it's perimeter is? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the area of an equilateral triangle is 24√3m² Then it's perimeter is?.
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