Question

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

Answer 1

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,

$\frac{14}{21}=\frac{x}{18}$

Solving for x

$\begin{gathered} \Rightarrow x=\frac{18\cdot14}{21}=12 \\ \Rightarrow x=12 \end{gathered}$

The length of the missing side is 12mm