1.

If the perimeter of an equilateral triangle is 12 if each side is doubled

Answer»

ANSWER:

What is the PERIMETER of an EQUILATERAL triangle ?

let us consider the SIDE of the triangle as a.

then,

a+a+a = perimeter of the equilateral triangle

3a = perimeter of the equilateral triangle

Given

each side is doubled

according to the question,

2×3a = 12

6a = 12

a = 12/6

a = 2

each side is 2

perimeter of original triangle = 2+2+2 or 12/a

perimeter of original triangle = 6 units

Extra information:

  • AREA of an equilateral triangle = \frac{\sqrt{3} }{4} a^{2}
  • height of an equilateral triangle = \frac{\sqrt{3} }{2} a


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