Question

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

Answer 1

The correct answer is UC = 18

Explanation:

From the given figure we can see that,

total length JN = 82 + 105 = 187

To find the length UC

From figure we can write,

UC = Total length - ( JU + CN) = JN - ( JU + CN)

JU = JH + HU = 22 + 96 = 118

UC = JN - ( JU + CN)

= 187 - (118 + 51)

= 187 - 169 = 18

Therefore the length of UC = 18

Answer 2

The length of UC is 18

Explanation

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 = 187

We can also infer that JU = JH + HU

JU = 22 + 96

JU = 118

We can also infer that CN = 51

Now we can fin the length of UC:

`UC=JN-(JU+CN)`

`UC=187-(118+51)`

`UC=18`

We can conclude that the length of UC is 18.