\(\Delta ABO\infty\Delta A'B'O\Rightarrow\dfrac{AB}{A'B'}=\dfrac{OA}{OA'}\left(1\right)\)
\(\Delta OIF'\infty\Delta A'B'F'\Rightarrow\dfrac{OF'}{A'F'}=\dfrac{OI}{A'B'}\)
\(\Rightarrow\dfrac{OF'}{OA'+OF'}=\dfrac{AB}{A'B'}\left(2\right)\) ( vì OI = AB)
(1,2) \(\Rightarrow\dfrac{OF'}{OA'+OF'}=\dfrac{OA}{OA'}\)
=> OA' = 24 cm
Thay OA' = 24 vào (1)
=> A'B' = 12 cm