Answer :

measure XT should be a half of TS

[tex]\begin{gathered} XT=\frac{74}{2} \\ XT=37 \end{gathered}[/tex]

Measure TZ should be 2/3 of TW

[tex]\begin{gathered} TZ=\frac{2}{3}(51) \\ TZ=34 \end{gathered}[/tex]

Measure ZW should be 1/3 of TW

[tex]\begin{gathered} ZW=\frac{1}{3}(51) \\ ZW=17 \end{gathered}[/tex]

Measure XZ should be 1/3 of RX

use a relation between RZ and RX to find RX

[tex]\begin{gathered} \frac{2}{3}\longrightarrow RZ \\ 1\longrightarrow RX \\ \\ \frac{2}{3}\longrightarrow42 \\ 1\longrightarrow RX \\ RX=42\cdot\frac{3}{2}=63 \\ RX=63 \end{gathered}[/tex]

Find XZ

[tex]\begin{gathered} XZ=\frac{63}{3} \\ XZ=21 \end{gathered}[/tex]

measure SY should be obtained using a relation between ZY and SY

[tex]\begin{gathered} \frac{1}{3}\longrightarrow ZY \\ 1\longrightarrow SY \\ \\ \frac{1}{3}\longrightarrow23 \\ 1\longrightarrow SY \\ SY=23\cdot\frac{3}{1}=69 \end{gathered}[/tex]

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