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What is the length of each side of an equilateral triangle having an area of 4√3 cm²?
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What is the length of each side of an equilateral triangle having an a...
Calculating the Length of Each Side of an Equilateral Triangle
To find the length of each side of an equilateral triangle with an area of 4√3 cm², we can use the formula for the area of an equilateral triangle: Area = (√3/4) * s², where s is the length of each side.
Given Information:
- Area of the equilateral triangle = 4√3 cm²
Solution:
1. Start by substituting the given area into the formula: 4√3 = (√3/4) * s²
2. Simplify the equation: 4√3 = √3 * s²/4
3. Multiply both sides by 4 to get rid of the fraction: 16√3 = √3 * s²
4. Square both sides to isolate s²: (16√3)² = (√3)² * s²
5. Calculate the squares: 48 = 3 * s²
6. Divide by 3 to solve for s²: s² = 16
7. Take the square root of both sides to find the length of each side: s = √16 = 4 cm
Therefore, the length of each side of an equilateral triangle with an area of 4√3 cm² is 4 cm.
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What is the length of each side of an equilateral triangle having an area of 4√3 cm²?
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What is the length of each side of an equilateral triangle having an area of 4√3 cm²? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about What is the length of each side of an equilateral triangle having an area of 4√3 cm²? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the length of each side of an equilateral triangle having an area of 4√3 cm²?.
What is the length of each side of an equilateral triangle having an area of 4√3 cm²? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about What is the length of each side of an equilateral triangle having an area of 4√3 cm²? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the length of each side of an equilateral triangle having an area of 4√3 cm²?.
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