Question

Use similar triangles to solve for the missing lengths below.

If you know how to work this out please help:)

Answer 1

x = 14

y = 18

Explanation:

By the property of similar triangles,

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

`(AB)/(EF)= (AC)/(GE)`

`(5)/(10)=(7)/(x)`

x =
`(70)/(5)`

x = 14

Similarly,
`(AB)/(EF)= (CB)/(GF)`

`(5)/(10)=(9)/(y)`

y =
`(90)/(5)`

y = 18