<s>[INST] Similar triangles: the shortest side of triangle $B$ measures $6$. Find the other two sides. Two triangles are similar. Triangle $A$ has sides measuring $3$, $4$, and $5$. The shortest side on triangle $B$ measures $6$. What are the lengths of the other two sides of triangle $B$?
 [/INST] Let $x,y$ be respectively the lengths of the medium and longest sides of triangle "$B$". Then similarity of triangles implies: $\dfrac{3}{6} = \dfrac{4}{x} = \dfrac{5}{y}\implies x = 8, y = 10.$
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