Answer:
[tex]w=16\ 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]20^{2}=w^{2}+12^{2}[/tex]
Solve for w
[tex]400=w^{2}+144[/tex]
[tex]w^{2}=400-144[/tex]
[tex]w^{2}=256[/tex]
[tex]w=16\ units [/tex]
