Find the length of UC on the attached diagram. Thank you!

Answer The length of UC is 18Explanation First we are going to find the length of JN; then we are subtracting from it the length of JU plus the length of CN.We can infer from our picture that JN is 82 + 105, so JN = 187We can also infer that JU = JH + HU                                      JU = 22 + 96                                      JU = 118We can also infer that CN = 51Now we can fin the length of UC:[tex]UC=JN-(JU+CN)[/tex][tex]UC=187-(118+51)[/tex][tex]UC=18[/tex]We can conclude that the length of UC is 18.