Answer:
the 4 th option
Step-by-step explanation:
Δ DAB and Δ DBC are similar triangles thus the ratios of corresponding sides are equal, that is
[tex]\frac{DA}{DB }[/tex] = [tex]\frac{DB}{DC}[/tex], substitute values
[tex]\frac{15}{8}[/tex] = [tex]\frac{8}{x}[/tex] ( cross- multiply )
15x = 64 ( divide both sides by 15 )
x = [tex]\frac{64}{15}[/tex]
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and
[tex]\frac{DA}{DB}[/tex] = [tex]\frac{AB}{BC}[/tex], substitute values
[tex]\frac{15}{8}[/tex] = [tex]\frac{17}{y}[/tex] ( cross- multiply )
15y = 136 ( divide both sides by 15 )
y = [tex]\frac{136}{15}[/tex]
