HELP ASAP PLEASE HELLPPPPPPP the triangles are similar. find the missing side length of x

Answer: I'm pretty sure its 78.
Step-by-step explanation:
27 x 1.5 = 18
52 x 1.5 = 78
Answer:
x = 78
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{OD}{AP}[/tex] = [tex]\frac{DT}{PN}[/tex] , substitute values
[tex]\frac{27}{18}[/tex] = [tex]\frac{x}{52}[/tex] ( cross- multiply )
18x = 1404 ( divide both sides by 18 )
x = 78