Mathematics: 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! :)

Use a proportion to find the missing side length

davisnaziyahovz5sk

07.02.2022

x = 4.5 m ⇒ A

Step-by-step 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

∴ $\frac{2}{x}$ = $\frac{4}{9}$

→ By using cross multiplication

∴ x × 4 = 2 × 9

∴ 4x = 18

→ Divide both sides by 4 to find x

∵ $\frac{4x}{4}$ = $\frac{18}{4}$

∴ x = 4.5 m

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