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What is the height of an equilateral triangle with 8 cm side?
- a)4√3 cm
- b)2√3 cm
- c)8√3 cm
- d)3√3 cm
Correct answer is option 'A'. Can you explain this answer?
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What is the height of an equilateral triangle with 8 cm side?a)4&radic...
Height of an equilateral triangle
Hence, Option A is correct.
Hence, Option A is correct.
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What is the height of an equilateral triangle with 8 cm side?a)4&radic...
Understanding the Equilateral Triangle
An equilateral triangle is a triangle where all three sides are equal in length, and all three angles are 60 degrees. To find the height of an equilateral triangle, you can use a specific formula derived from its properties.
Formula for Height
The height (h) of an equilateral triangle can be calculated using the formula:
h = (√3/2) * a
where "a" is the length of a side of the triangle.
Given Data
- Side length (a) = 8 cm
Applying the Formula
Now, substituting the given side length into the height formula:
- h = (√3/2) * 8
- h = 4√3 cm
Conclusion
Therefore, the height of the equilateral triangle with an 8 cm side is 4√3 cm.
So, the correct answer is option 'A'.
An equilateral triangle is a triangle where all three sides are equal in length, and all three angles are 60 degrees. To find the height of an equilateral triangle, you can use a specific formula derived from its properties.
Formula for Height
The height (h) of an equilateral triangle can be calculated using the formula:
h = (√3/2) * a
where "a" is the length of a side of the triangle.
Given Data
- Side length (a) = 8 cm
Applying the Formula
Now, substituting the given side length into the height formula:
- h = (√3/2) * 8
- h = 4√3 cm
Conclusion
Therefore, the height of the equilateral triangle with an 8 cm side is 4√3 cm.
So, the correct answer is option 'A'.
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What is the height of an equilateral triangle with 8 cm side?a)4√3 cmb)2√3 cmc)8√3 cmd)3√3 cmCorrect answer is option 'A'. Can you explain this answer?
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