# R.M.S>.A.M (you may use the fact)

Algebra Level 4

In a right angled triangle, $$A$$ and $$B$$ denote the lenghts of the medians that belong to the legs of the triangle, and the length of the median belonging to the hypotenuse is $$C$$. Find the maximum value of the expression $$\dfrac{A+B}{C}$$, the answer is of the form $$\sqrt{X}$$ and so find $$X$$.

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