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3 years ago

How do I find out the two missing lengths

Mathematics

2 answers:

exis [7]3 years ago

8 0

Answer:

x = 10 and 2/3

y = 10

Step-by-step explanation:

Mrrafil [7]3 years ago

8 0

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:

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

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