In triangle $XYZ$, $XT$ is the altitude, where $|XT| = 60$ cm, $|YT| = 11$ cm, and $|XZ| = 65$ cm. We are asked to find the length of $|YZ|$.

1. Problem Description

In triangle $XYZ$, $XT$ is the altitude, where $|XT| = 60$ cm, $|YT| = 11$ cm, and $|XZ| = 65$ cm. We are asked to find the length of $|YZ|$.

2. Solution Steps

First, we consider the right triangle $XTZ$. By the Pythagorean theorem, we have

$|XT|^2 + |TZ|^2 = |XZ|^2$

$60^2 + |TZ|^2 = 65^2$

$3600 + |TZ|^2 = 4225$

$|TZ|^2 = 4225 - 3600 = 625$

$|TZ| = \sqrt{625} = 25$ cm.

Next, we have $|YZ| = |TZ| - |TY|$

$|YZ| = 25 - 11 = 14$ cm.

3. Final Answer

The length of $|YZ|$ is 14 cm.