Applying the geometric mean theorem, the length of the altitude is: 5√3.
What is the Geometric Mean Theorem?
The geometric mean theorem or the right triangle altitude theorem states that: h = √(xy), where x and y are the lengths of the divided segments of the hypotenuse, and h is the altitude length.
Given the following:
Length of the altitude (h) = √(5×15)
Length of the altitude (h) = √(75) = √(25 × 3)
Length of the altitude (h) = 5√3
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