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In an equilateral triangle with a side length of 6 cm, what is the area?

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Question: In an equilateral triangle with a side length of 6 cm, what is the area?

Options:

  1. 9√3 cm²
  2. 12 cm²
  3. 18 cm²
  4. 36 cm²

Correct Answer: 9√3 cm²

Solution: 

Area = (√3/4) * side² = (√3/4) * 6² = 9√3 cm².

In an equilateral triangle with a side length of 6 cm, what is the area?

Practice Questions

Q1
In an equilateral triangle with a side length of 6 cm, what is the area?
  1. 9√3 cm²
  2. 12 cm²
  3. 18 cm²
  4. 36 cm²

Questions & Step-by-Step Solutions

In an equilateral triangle with a side length of 6 cm, what is the area?
  • Step 1: Identify the formula for the area of an equilateral triangle, which is Area = (√3/4) * side².
  • Step 2: Substitute the side length into the formula. Here, the side length is 6 cm.
  • Step 3: Calculate the square of the side length: 6² = 36.
  • Step 4: Multiply the result by (√3/4): Area = (√3/4) * 36.
  • Step 5: Simplify the multiplication: Area = 9√3 cm².
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