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What is the area of an equilateral triangle with side length 'a'?

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Question: What is the area of an equilateral triangle with side length \'a\'?

Options:

  1. (√3/4)a²
  2. (1/2)a²
  3. (√2/2)a²
  4. (3/2)a²

Correct Answer: (√3/4)a²

Solution: 

The area of an equilateral triangle is given by the formula (√3/4)a².

What is the area of an equilateral triangle with side length 'a'?

Practice Questions

Q1
What is the area of an equilateral triangle with side length 'a'?
  1. (√3/4)a²
  2. (1/2)a²
  3. (√2/2)a²
  4. (3/2)a²

Questions & Step-by-Step Solutions

What is the area of an equilateral triangle with side length 'a'?
  • Step 1: Understand that an equilateral triangle has all three sides of equal length, which we call 'a'.
  • Step 2: Recall the formula for the area of an equilateral triangle, which is (√3/4) * a².
  • Step 3: To find the area, you need to square the side length 'a'. This means you multiply 'a' by itself (a * a).
  • Step 4: Multiply the result from Step 3 by (√3/4). This gives you the area of the triangle.
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