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Examine the triangles, which are similar. Two similar triangles. The first triangle has a side length of 14 millimeters, which corresponds to the second triangle's side of 21 millimeters. The missing side of the first triangle corresponds to a side of 18 millimeters on the second triangle. How many millimeters long is the missing side

Respuesta :

In the case of two similar triangles, all their corresponding sides have a constant ratio. Therefore, if x is the length of the missing side,

[tex]\frac{14}{21}=\frac{x}{18}[/tex]

Solving for x

[tex]\begin{gathered} \Rightarrow x=\frac{18\cdot14}{21}=12 \\ \Rightarrow x=12 \end{gathered}[/tex]

The length of the missing side is 12mm

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