Observing the two figures it seems that they are similar.
Mathematially, two figures are said to be similar if their corresponding sides are in proportion,
[tex]\frac{10}{4}=\frac{8}{y}=\frac{15}{z}=\frac{x}{5}[/tex]Solve for 'x' as,
[tex]\frac{10}{4}=\frac{x}{5}\Rightarrow x=\frac{50}{4}=12.5[/tex]Solve for 'y' as,
[tex]\frac{10}{4}=\frac{8}{y}\Rightarrow y=\frac{8\times4}{10}=3.2[/tex]Solve for 'z' as,
[tex]\frac{10}{4}=\frac{15}{z}\Rightarrow z=\frac{15\times4}{10}=6[/tex]Thus, the values of x, y, and z, are 12.5, 3.2, and 6, respectively.
