Question
Download Solution PDFThe perimeter of an equilateral triangle is 48 cm. Find its area (in cm2).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The perimeter of an equilateral triangle = 48 cm
Formula used:
The perimeter of equilateral triangle = 3 × side
Calculation:
The perimeter of an equilateral triangle = 48
⇒ 3 × side = 48
⇒ Side = 48/3 = 16 cm
Area of an equilateral triangle = {√3 × (side)2}/4
⇒ {√3 × (16)2}/4 = 256√3/4
⇒ 64√3 cm2
∴ The correct answer is 64√3 cm2.
Last updated on Jul 7, 2025
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