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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

User Paul V
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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

The sides of a triangle have measures of 4, 5, and 6. Find the measure of the shortest-example-1
User Pronab Roy
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