In triangle \(ABC\), \(AB = 6\) units, \(BC = 8\) units, and \(CA = 10\) units. The altitude from vertex \(A\) to side \(BC\) divides \(BC\) into segments \(BD\) and \(DC\). Find the length of the altitude and express your answer in simplest radical form. Let's think step by step and output the final answer within \boxed{}.
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