مقدار x را حساب کنید.
\(\begin{array}{l}\left\{ \begin{array}{l}\frac{{AB}}{{AC}} = \frac{x}{6}\\\\\frac{{BC}}{{AC}} = \frac{x}{{10}}\end{array} \right. \to \frac{{AB}}{{AC}} + \frac{{BC}}{{AC}} = \frac{x}{6} + \frac{x}{{10}}\\\\ \Rightarrow \frac{{AB + BC}}{{AC}} = \frac{{10x + 6x}}{{60}} \Rightarrow 1 = \frac{{16x}}{{60}}\\\\ \Rightarrow x = \frac{{60}}{{16}} \Rightarrow x = \frac{{60}}{{16}} \Rightarrow x = \frac{{15}}{4}\end{array}\)