Question

what is the value of x? round the answer to the nearest tenth. enter the answer in the box. units use the figure to answer the question.

Explanation:

Step1: Use the geometric mean theorem

In a right - triangle, the length of a leg (\(a = 3\) or \(b = 4\)) is the geometric mean of the hypotenuse (\(c=5\)) and the segment of the hypotenuse adjacent to that leg (\(x\) for \(a = 3\)). The formula is \(a^{2}=c\times x\).
Substitute \(a = 3\) and \(c = 5\) into the formula: \(3^{2}=5\times x\).

Step2: Solve for \(x\)

We have the equation \(9 = 5x\).
Using the property of equality, divide both sides by 5: \(x=\frac{9}{5}=1.8\).

Answer:

\(1.8\)