# Triangular Numbers.....Part-2

Number Theory Level pending

Let $$t_{n}$$ denote the $$n^{th}$$ triangular number. Let $$t_{a},t_{b},t_{c}$$ be three successive triangular numbers such that their sum is perfect square.Find the minimum possible value of $$a+b+c$$.

Note- A triangular number is a number in the form of $$\frac{n(n+1)}{2}$$ where $$n\ge1$$.

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