The value of RS in the segment drawn is 7
From the diagram given :
- RS + ST = RT
- RS = 2x - 11 ; ST = 2x - 14
Now we have ;
11 = 2x - 11 + 2x - 14
11 = 4x -25
11 + 25 = 4x
36 = 4x
x = 9
RS = 2x - 11
RS = 2(9) - 11
RS = 18 - 11
RS = 7
Hence, the value of RS is 7.