Question

Use a proportion to find the missing side length in the following similar figures. Please help me understand and figure out how to solve this question. Thank You! :)

Answer 1

4.5m they are correct

Explanation:

i am from connexus 8th grd pre algrabra

unit 5 lesson 3

1. 1:2

2. C. yes they are similar they have porportional side lengths and = ange measures

3. x = 4.5m

4. x = 30.8cm

5. x = 6 m

Answer 2

x = 4.5 m ⇒ A

Explanation:

The sides of similar triangles are proportion, that means the ratio between the corresponding sides are equal

In the given figure

∵ The two triangles are similar

∵ 2 m and x are corresponding sides

∵ 4 m and 9 m are corresponding sides

∴
`(2)/(x)` =
`(4)/(9)`

→ By using cross multiplication

∴ x × 4 = 2 × 9

∴ 4x = 18

→ Divide both sides by 4 to find x

∵
`(4x)/(4)` =
`(18)/(4)`

∴ x = 4.5 m