Answer:
[tex]\Rightarrow x=14.25[/tex]
And [tex]\Rightarrow y=15[/tex].
Step-by-step explanation:
We have been given similar triangles:
So, the corresponding sides are in same proportion in case of similar triangles.
So,[tex]\frac{8}{6}=\frac{19}{x}=\frac{20}{y}[/tex]
Taking:[tex]\frac{8}{6}=\frac{19}{x}[/tex]
[tex]8x=19\cdot 6[/tex]
[tex]8x=114[/tex]
[tex]\Rightarrow x=14.25[/tex]
Now, taking: [tex]\frac{19}{x}=\frac{20}{y}[/tex]
[tex]\Rightarrow \frac{19}{14.25}=\frac{20}{y}[/tex]
[tex]\Rightarrow 19y=20\cdot 14.25[/tex]
[tex]\Rightarrow y=\frac{20\cdot 14.25}{19}[/tex]
[tex]\Rightarrow y=15[/tex].
