Question

How do I find out the two missing lengths

Answer 1

Answer:

x = 10 and 2/3

y = 10

Step-by-step explanation:

Answer 2

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":

$\frac {21} {15} = \frac {14} {y}\\y = \frac {14 * 15} {21}\\y = 10$

We look for the value of "x":

$\frac {21} {16} = \frac {14} {x}\\x = \frac {14 * 16} {21}\\x = 10.67$

Answer:

$x = 10.67 = 11\\y = 10$