Question

Please help!!! I'm super confused with this one, show work so that I can figure out what I did wrong.

Find the length of CU. The triangles are similar.

Answer 1

Answer: The length of CU is 117 units.

Explanation:

Given: ΔWCD≈ΔWUV

We know that if two triangles are similar, then their corresponding sides are proportional.

∴
`(WU)/(WC)=(WV)/(WD)`

`(36x-1)/(26)=(110)/(20)\\\Rightarrow\ 36x-1=(11)/(2)*26\\\Rightarrow36x-1=143\\\Rightarrow\ 36x=143+1\\\Rightarrow\ 36x=144\\\Rightarrow\ x=4`

∴ WU=
`36(4)-1=143`

Also , WU=WC+CU

⇒CU=WU-WC

⇒CU=143-26=117 units