How many equilateral triangles exist whose sides a, b and c are natural numbers less than 8?

• answer is 7 equilateral triangles
  In order to form equilateral triangle all the sides must be equal
  i.e. a=b=c
  then numbers below 8 when taken contain
  1,1,1
  2,2,2
  3,3,3
  4,4,4
  5,5,5
  6,6,6
  7,7,7
  
  so 7 equilateral triangles exists
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