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QUESTION IMAGE

solve for a. a =

Question

solve for a.
a =

Explanation:

Step1: Apply geometric mean theorem

In a right - triangle, the altitude \(a\) to the hypotenuse is the geometric mean of the segments of the hypotenuse. The formula is \(a^{2}=2\times8\).

Step2: Calculate \(a\)

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Answer:

\(4\)