Respuesta :

Solution

The diagram given is a right angle triangle

To find the value of x; we consider the relationship between the three sides.

Pythagoras theorem actually gave the relationship between the three sides of a right angle triangle.

By Pythagoras theorem;

[tex]\begin{gathered} x^2+8^2=13^2 \\ \\ \Rightarrow x^2=13^2-8^2 \\ \\ \Rightarrow x^2=169-64 \\ \\ \Rightarrow x^2=105 \\ \\ \Rightarrow x=\sqrt{105} \end{gathered}[/tex]

x = 10.25