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

Answer:

$\Rightarrow x=14.25$

And $\Rightarrow y=15$.

Step-by-step explanation:

We have been given similar triangles:

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

So,$\frac{8}{6}=\frac{19}{x}=\frac{20}{y}$

Taking:$\frac{8}{6}=\frac{19}{x}$

$8x=19\cdot 6$

$8x=114$

$\Rightarrow x=14.25$

Now, taking: $\frac{19}{x}=\frac{20}{y}$

$\Rightarrow \frac{19}{14.25}=\frac{20}{y}$

$\Rightarrow 19y=20\cdot 14.25$

$\Rightarrow y=\frac{20\cdot 14.25}{19}$

$\Rightarrow y=15$.