Respuesta :

gmany

Answer:

x = 12

Step-by-step explanation:

If given figures are similar, then corresponding sides are in proportion.

Therefore we have the equation:

[tex]\dfrac{x}{3}=\dfrac{56}{14}[/tex]           cross multiply

[tex](14)(x)=(3)(56)[/tex]

[tex]14x=168[/tex]            divide both sides by 14

[tex]\dfrac{14x}{14}=\dfrac{168}{14}[/tex]

[tex]x=12[/tex]

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of the missing side is 12 units.

What are Similar Figures?

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

For two similar figures, the ratio of any two corresponding sides is in ratio, therefore, the length of the unknown side can be written as,

(10/40) = (14/56) = (14/56) = (3/x)

1/4=3/x

x = 12

Hence, the length of the missing side is 12 units.

Learn more about Similar Figures:

https://brainly.com/question/11315705

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