Answer:
BC = 28 [tex]\frac{1}{3}[/tex] ft
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AX}{AB}[/tex] = [tex]\frac{XY}{BC}[/tex] , substitute values
[tex]\frac{12}{20}[/tex] = [tex]\frac{17}{BC}[/tex] ( cross- multiply )
12BC = 340 ( divide both sides by 12 )
BC = [tex]\frac{340}{12}[/tex] = [tex]\frac{85}{3}[/tex] = 28 [tex]\frac{1}{3}[/tex]
