Question

tenth.
$x = $

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, the Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here, \(x\) and \(12\) are the legs and \(14\) is the hypotenuse. So, \(x^{2}+12^{2}=14^{2}\).

Step2: Simplify the equation

\(x^{2}+144 = 196\). Then, \(x^{2}=196 - 144\).

Step3: Calculate \(x^{2}\)

\(x^{2}=52\).

Step4: Solve for \(x\)

\(x=\sqrt{52}\approx7.2\) (rounded to the nearest tenth).

Answer:

\(7.2\)