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What is the area of an equilateral triangle with a side length of 6 cm? (2022)
What is the area of an equilateral triangle with a side length of 6 cm? (2022)
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Practice Questions
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Q1
What is the area of an equilateral triangle with a side length of 6 cm? (2022)
9√3 cm²
12√3 cm²
18√3 cm²
24√3 cm²
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Area = (√3/4) * side² = (√3/4) * 6² = (√3/4) * 36 = 9√3 cm².
Questions & Step-by-step Solutions
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Q: What is the area of an equilateral triangle with a side length of 6 cm? (2022)
Solution:
Area = (√3/4) * side² = (√3/4) * 6² = (√3/4) * 36 = 9√3 cm².
Steps: 5
Show Steps
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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