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what is the value of x? 12 units 15 units 20 units 24 units

Question

what is the value of x? 12 units 15 units 20 units 24 units

Explanation:

Step1: Use geometric mean theorem

In a right - triangle, if an altitude is drawn to the hypotenuse, then \(x^{2}=9\times(9 + 16)\)

Step2: Calculate the right - hand side

\(x^{2}=9\times25\)

Step3: Solve for \(x\)

\(x=\sqrt{225}=15\)

Answer:

15 units