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:

`(9)/(6)=(s)/(4)`

solving for s we get the following:

`\begin{gathered} (s)/(4)=(9)/(6) \\ \Rightarrow s=(9)/(6)\cdot4=(36)/(6)=6 \\ s=6 \end{gathered}`

therefore, the measure of the shortest side is 6