Answer:
x = 9, y = 4 and z = 6.67
Step-by-step explanation:
Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.
Therefore, [tex]\frac{x}{6}=\frac{12}{8}[/tex]
x = [tex]\frac{12\times 6}{8}[/tex]
x = 9
Similarly, [tex]\frac{10}{z}=\frac{12}{8}[/tex]
z = [tex]\frac{10\times 8}{12}[/tex]
z = [tex]\frac{20}{3}[/tex] = 6.67
And [tex]\frac{6}{y}=\frac{12}{8}[/tex]
y = [tex]\frac{8\times 6}{12}[/tex]
y = 4
Therefore, x = 9, y = 4 and z = 6.67 will be the values.
