The Pythagorean Theorem is
[tex]c^2=a^2+b^2[/tex]
where
c=hypotenuse=13
a=12
b=x
then we substitute the values
[tex]13^2=12^2+x^2[/tex]
then we isolate the x
[tex]\begin{gathered} x=\sqrt[]{13^2-12^2} \\ x=\sqrt[]{169-144} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}[/tex]
The bottom of the ladder is 5m far from the bottom of the wall
