Question

a. find a length of segment DF . use decimal rotation _______ unitsb. find the length of segment DF. use decimal rotation _______ units

Answer 1

`\text{ Since the triangles are similar, we will use the Thales' theorem!}`
`\begin{gathered} \text{ By thales' theorem, we have that } \\ \\ (AB)/(AC)=(DE)/(DF) \\ (2)/(4)=(1.2)/(DF) \\ (DF)/(4)=(1.2)/(2) \\ (DF)/(4)=0.6 \\ DF=0.6\cdot4 \\ DF=2.4 \end{gathered}`
`\begin{gathered} \text{And again, by thales' theorem, we have} \\ (AB)/(BC)=(DE)/(EF) \\ (2)/(3)=(1.2)/(EF) \\ (EF)/(3)=(1.2)/(2) \\ (EF)/(3)=0.6 \\ EF=0.6\cdot3 \\ EF=1.8 \end{gathered}`