$$ \scriptsize \text{Note: Figure not drawn to scale.} $$

On \( \overline{AD}\) above, \(AB=CD\). What is the length of \(\overline{AC} \) ?

Summary Submit

Since \(AB=CD\),

$$ x-2=3x-12 $$ $$ 10=2x $$ $$x=5 $$

Substituting this into our expressions in the figure,

$$ AB=3, BC=5, CD=3 $$ $$ AC=AB+BC$$ $$ AC=3+5 $$ $$ AC=\boxed{8} $$