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What is the area (in sq cm) of an equilateral triangle of side 6 cm?
- a)36√3
- b)9
- c)36
- d)9√3
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
What is the area (in sq cm) of an equilateral triangle of side 6 cm?a)...
Area of equilateral triangle = √3a2/4 = √3(6)2/4 = 9√3
So the answer is option D.
Most Upvoted Answer
What is the area (in sq cm) of an equilateral triangle of side 6 cm?a)...
The formula for the area of an equilateral triangle is A = (√3/4) * s^2, where A is the area and s is the length of the side.
Plugging in s = 6 cm into the formula:
A = (√3/4) * (6 cm)^2
A = (√3/4) * 36 cm^2
A = (√3/4) * 36 cm^2
A = (√3/4) * 36 cm^2
A = (√3/4) * 36 cm^2
A = (√3 * 36) / 4 cm^2
A = (3 * 6 * 6) / 4 cm^2
A = (3 * 36) / 4 cm^2
A = 108 / 4 cm^2
A = 27 cm^2
Therefore, the area of an equilateral triangle with side length 6 cm is 27 square centimeters.
Plugging in s = 6 cm into the formula:
A = (√3/4) * (6 cm)^2
A = (√3/4) * 36 cm^2
A = (√3/4) * 36 cm^2
A = (√3/4) * 36 cm^2
A = (√3/4) * 36 cm^2
A = (√3 * 36) / 4 cm^2
A = (3 * 6 * 6) / 4 cm^2
A = (3 * 36) / 4 cm^2
A = 108 / 4 cm^2
A = 27 cm^2
Therefore, the area of an equilateral triangle with side length 6 cm is 27 square centimeters.
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What is the area (in sq cm) of an equilateral triangle of side 6 cm?a)36√3b)9c)36d)9√3Correct answer is option 'D'. Can you explain this answer?
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