Question

1. solve for x. 16 9 o 12 o 12.5 o 6√3 o 5

Explanation:

Step1: Apply geometric - mean theorem

In a right - triangle, if an altitude \(x\) is drawn to the hypotenuse, then \(x^{2}=a\times b\), where \(a = 16\) and \(b = 9\).
So \(x^{2}=16\times9\).

Step2: Solve for \(x\)

Take the square - root of both sides. Since \(x>0\) (as it represents a length), \(x=\sqrt{16\times9}=\sqrt{16}\times\sqrt{9}\).
\(x = 4\times3=12\).

Answer:

12