need help with this !! will mark as brainliest

Answer:
AB = 9.6 cm
Step-by-step explanation:
ΔAPQ and ΔABC are similar triangles, thus ratio of corresponding sides are equal, that is
[tex]\frac{AP}{AB}[/tex] = [tex]\frac{PQ}{BC}[/tex], substitute values
[tex]\frac{8}{AB}[/tex] = [tex]\frac{10}{12}[/tex] ( cross- multiply )
10AB = 96 ( divide both sides by 10 )
AB = 9.6 cm