Answer:
The correct option is 1.
Step-by-step explanation:
Given information:\(TU=6\)
From the given figure it is noticed that
\(RT=12\)
\(RS=24\)
\(RS=RT+TU+SU\)
\(24=12+6+SU\)
\(6=SU\)
In first option,
\(SU+UT=RT\)
\(6+6=12\)
\(12=12\)
Since left hand side is equal to right hand side, therefore option 1 is correct.
\(RT+TU=RS\)
\(12+6=24\)
\(18=24\)
This statement is not true, therefore option 2 is incorrect.
\(RS+SU=RU\)
\(24+6=18\)
\(30=18\)
This statement is not true, therefore option 3 is incorrect.
\(TU+US=RS\)
\(6+6=24\)
\(12=24\)
This statement is not true, therefore option 4 is incorrect.
