Question

Can I get the missing lengths. Please

Answer 1

x = 17
y = 18

I subtracted the other sides of the first triangle by 2 to get the missing values.

Answer 2

`\Rightarrow x=14.25`

And
`\Rightarrow y=15`.

Explanation:

We have been given similar triangles:

So, the corresponding sides are in same proportion in case of similar triangles.

So,
`(8)/(6)=(19)/(x)=(20)/(y)`

Taking:
`(8)/(6)=(19)/(x)`

`8x=19\cdot 6`

`8x=114`

`\Rightarrow x=14.25`

Now, taking:
`(19)/(x)=(20)/(y)`

`\Rightarrow (19)/(14.25)=(20)/(y)`

`\Rightarrow 19y=20\cdot 14.25`

`\Rightarrow y=(20\cdot 14.25)/(19)`

`\Rightarrow y=15`.