Question

The sides of a triangle have measures of 4, 5, and 6. Find the measure of the shortest side of a similar triangle whose longest side has a measure of 9

Answer 1

Given the information, we have the following triangles:

since they are similar, we can write the following proportions:

$\frac{9}{6}=\frac{s}{4}$

solving for s we get the following:

$\begin{gathered} \frac{s}{4}=\frac{9}{6} \\ \Rightarrow s=\frac{9}{6}\cdot4=\frac{36}{6}=6 \\ s=6 \end{gathered}$

therefore, the measure of the shortest side is 6