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The area of an equilateral triangle with side 2√3 cm is
- a)5.196 cm²
- b)0.866 cm²
- c)3.496 cm²
- d)1.732 cm²
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The area of an equilateral triangle with side 2√3 cm isa)5.196 c...
Given, the side of an equilateral triangle = 2√3 cm
We have to find the area of the equilateral triangle.
Area of an equilateral triangle = √3/4 (side)²
= √3/4 (2√3)²
= √3/4 (4 × 3)
= 3√3
Consider √3 = 1.732
= 3 × 1.732
= 5.196 cm²
Therefore, the area of an equilateral triangle is 5.196 cm²
We have to find the area of the equilateral triangle.
Area of an equilateral triangle = √3/4 (side)²
= √3/4 (2√3)²
= √3/4 (4 × 3)
= 3√3
Consider √3 = 1.732
= 3 × 1.732
= 5.196 cm²
Therefore, the area of an equilateral triangle is 5.196 cm²
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Community Answer
The area of an equilateral triangle with side 2√3 cm isa)5.196 c...
Understanding the Area of an Equilateral Triangle
To find the area of an equilateral triangle, we can use the formula:
Area = (√3 / 4) * (side length)²
In this case, the side length is given as 2√3 cm.
Step-by-Step Calculation
- Step 1: Square the Side Length
- Calculate (2√3)²
- (2√3)² = 4 * 3 = 12
- Step 2: Apply the Area Formula
- Substitute the squared side length into the area formula:
- Area = (√3 / 4) * 12
- Step 3: Simplify the Expression
- Area = 12√3 / 4
- Area = 3√3 cm²
Calculating the Numerical Value
- Approximate Value of √3
- √3 is approximately 1.732.
- Final Calculation
- Area ≈ 3 * 1.732 = 5.196 cm²
Conclusion
Thus, the area of the equilateral triangle with a side length of 2√3 cm is approximately 5.196 cm².
Correct Answer: Option A
To find the area of an equilateral triangle, we can use the formula:
Area = (√3 / 4) * (side length)²
In this case, the side length is given as 2√3 cm.
Step-by-Step Calculation
- Step 1: Square the Side Length
- Calculate (2√3)²
- (2√3)² = 4 * 3 = 12
- Step 2: Apply the Area Formula
- Substitute the squared side length into the area formula:
- Area = (√3 / 4) * 12
- Step 3: Simplify the Expression
- Area = 12√3 / 4
- Area = 3√3 cm²
Calculating the Numerical Value
- Approximate Value of √3
- √3 is approximately 1.732.
- Final Calculation
- Area ≈ 3 * 1.732 = 5.196 cm²
Conclusion
Thus, the area of the equilateral triangle with a side length of 2√3 cm is approximately 5.196 cm².
Correct Answer: Option A
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The area of an equilateral triangle with side 2√3 cm isa)5.196 cm²b)0.866 cm²c)3.496 cm²d)1.732 cm²Correct answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The area of an equilateral triangle with side 2√3 cm isa)5.196 cm²b)0.866 cm²c)3.496 cm²d)1.732 cm²Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of an equilateral triangle with side 2√3 cm isa)5.196 cm²b)0.866 cm²c)3.496 cm²d)1.732 cm²Correct answer is option 'A'. Can you explain this answer?.
The area of an equilateral triangle with side 2√3 cm isa)5.196 cm²b)0.866 cm²c)3.496 cm²d)1.732 cm²Correct answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The area of an equilateral triangle with side 2√3 cm isa)5.196 cm²b)0.866 cm²c)3.496 cm²d)1.732 cm²Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of an equilateral triangle with side 2√3 cm isa)5.196 cm²b)0.866 cm²c)3.496 cm²d)1.732 cm²Correct answer is option 'A'. Can you explain this answer?.
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