Question

Use similar triangles to solve for the missing lengths below.

Answer 1

Answer:

x = 14

y = 18

Step-by-step explanation:

By the property of similar triangles,

If two triangles are similar their corresponding sides will be proportional.

$\frac{AB}{EF}= \frac{AC}{GE}$

$\frac{5}{10}=\frac{7}{x}$

x = $\frac{70}{5}$

x = 14

Similarly, $\frac{AB}{EF}= \frac{CB}{GF}$

$\frac{5}{10}=\frac{9}{y}$

y = $\frac{90}{5}$

y = 18