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If area of an equilateral triangle is a and height b, then value of  b2/a  is:   (SSC Sub. Ins. 2013)
  • a)
    3
  • b)
    1/3
  • c)
    √3
  • d)
    1/√3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If area of an equilateral triangle is a and height b, then value of b2...
Let side of triangle = x

Putting x in equation (i)
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Most Upvoted Answer
If area of an equilateral triangle is a and height b, then value of b2...
Explanation:

Area of an Equilateral Triangle:
- The formula to find the area of an equilateral triangle is A = (sqrt(3)/4) * a^2, where 'a' is the side length of the triangle.

Height of an Equilateral Triangle:
- The height of an equilateral triangle can be found using the formula h = (sqrt(3)/2) * a, where 'a' is the side length of the triangle.

Given:
- Area of the equilateral triangle = a
- Height of the equilateral triangle = b

Finding the Value of b^2/a:
- We know that the area of the equilateral triangle is equal to (sqrt(3)/4) * a^2.
- So, a = (sqrt(3)/4) * a^2
- Simplifying, we get a = (sqrt(3)/4) * a^2
- Dividing both sides by a, we get b^2/a = sqrt(3)/4
- Therefore, the value of b^2/a is sqrt(3)/4, which is equivalent to sqrt(3).
Therefore, the correct answer is option C which is √3.
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If area of an equilateral triangle is a and height b, then value of b2/a is: (SSC Sub. Ins. 2013)a)3b)1/3c)√3d)1/√3Correct answer is option 'C'. Can you explain this answer?
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