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.

Question

asked Sep 8, 2020 11.2k views

1 Answer

Samina · Answer 1 · 2020-09-12T04:15:15+0000

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