How do I find out the two missing lengths

Answer:
x = 10 and 2/3
y = 10
Step-by-step explanation:
For this case, we have that by definition:
When two triangles are similar, the corresponding angles are congruent and the corresponding sides are proportional.
Then, we find the value of "y":
[tex]\frac {21} {15} = \frac {14} {y}\\y = \frac {14 * 15} {21}\\y = 10[/tex]
We look for the value of "x":
[tex]\frac {21} {16} = \frac {14} {x}\\x = \frac {14 * 16} {21}\\x = 10.67[/tex]
Answer:
[tex]x = 10.67 = 11\\y = 10[/tex]