# They all are squared

Algebra Level 4

$\large \begin{cases}a^2+ab+b^2=25 \\ b^2+bc+c^2=49 \\ c^2+ca+a^2=64\end{cases}$

Let $$a$$, $$b$$, and $$c$$ be positive real numbers which satisfy the above system of equation. Find $$(a+b+c)^2$$.

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