The calculated lengths of the segments UV and RS are RS = 114 in and UV = 45 in
How to determine the lengths of the segments UV and RS
From the question, we have the following parameters that can be used in our computation:
The figure
Where, we can see that
RS = 2 * VW
UV = 1/2 * RT
Also, we have
VW = 57 in
RT = 90 in
Substitute the known values into the equation
RS = 2 * 57 in
UV = 1/2 * 90 in
Evaluate
RS = 114 in
UV = 45 in
Hence, the lengths of the segments UV and RS are RS = 114 in and UV = 45 in