Answer: The length of CU is 117 units.
Step-by-step explanation:
Given: ΔWCD≈ΔWUV
We know that if two triangles are similar, then their corresponding sides are proportional.
∴ [tex]\frac{WU}{WC}=\frac{WV}{WD}[/tex]
[tex]\frac{36x-1}{26}=\frac{110}{20}\\\Rightarrow\ 36x-1=\frac{11}{2}\times26\\\Rightarrow36x-1=143\\\Rightarrow\ 36x=143+1\\\Rightarrow\ 36x=144\\\Rightarrow\ x=4[/tex]
∴ WU=[tex]36(4)-1=143[/tex]
Also , WU=WC+CU
⇒CU=WU-WC
⇒CU=143-26=117 units
