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Question

If the area of an equilateral triangle is 163cm2, then the perimeter of the triangle is
  1. 48 cm
  2. 24 cm
  3. 12 cm
  4. 36 cm


Solution

The correct option is B 24 cm
Given, area of an equilateral triangle =163cm2
  Area of an equilateral triangle =34(Side)2
     34(Side)2=163(Side)2=64
        Side = 8cm
[taking positive square root because side is always positive]
Perimeter of an equilateral triangle = 3 × side = 3 × 8 = 24cm
Hence, the perimeter of an equilateral triangle is 24 cm.

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