Answer:
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
∴ [tex]\frac{2}{x}[/tex] = [tex]\frac{4}{9}[/tex]
→ By using cross multiplication
∴ x × 4 = 2 × 9
∴ 4x = 18
→ Divide both sides by 4 to find x
∵ [tex]\frac{4x}{4}[/tex] = [tex]\frac{18}{4}[/tex]
∴ x = 4.5 m
