Answer:
[tex]c=5\ units [/tex]
Step-by-step explanation:
we know that
In the right triangle ABC of the figure
Applying the Pythagoras Theorem
[tex]AC^{2}=AB^{2}+BC^{2}[/tex]
substitute the given values
[tex]13^{2}=c^{2}+12^{2}[/tex]
Solve for c
[tex]169=c^{2}+144[/tex]
[tex]c^{2}=169-144[/tex]
[tex]c^{2}=25[/tex]
[tex]c=5\ units [/tex]
