Some identical balls are arranged in rows to form an equilateral triangle . The first row consists of one ball , the second row consists of  of two balls and so on . If 99 more identical balls are added to the total number of balls used in forming the equilateral triangle , then all these balls can be arranged in a square whose each side contains exactly 2 balls less than the number of balls each side of the triangle contains . Then the number of balls used to form the equilateral triangle is : Option 1) Option 2) Option 3) Option 4)

let total number of rows in forming equilateral triangle is n

then

Option 1)

Option 2)

Option 3)

Option 4)

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