Respuesta :

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

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