Question
Download Solution PDFThe perimeter of an equilateral triangle ABC is 10.2 cm. What is the area of the triangle ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The perimeter of an equilateral triangle ABC is 10.2 cm.
Formula used:
Area of an equilateral triangle = \( \dfrac{\sqrt{3}}{4} \times a^2\)
Where, a = side length of the equilateral triangle
Calculation:
The perimeter of an equilateral triangle = 3a
⇒ 3a = 10.2
⇒ a = 3.4 cm
Area = \(\dfrac{\sqrt{3}}{4} \times (3.4)^2\)
⇒ Area = \(\dfrac{\sqrt{3}}{4} \times 11.56\)
⇒ Area = \(2.89\sqrt{3}\) cm2
∴ The correct answer is option 3.
Last updated on Jul 16, 2025
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