Answer:
4.6
Step-by-step explanation:
W is the mid point of ST
U is the mid point of SR
V is the mid point of TR
Mid point theorem : It states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.
So By theorem, [tex]\frac{TR}{2}=WU[/tex]
WU = 1.7
So, [tex]\frac{TR}{2}=1.7[/tex]
[tex]RT=1.7 \times 2[/tex]
[tex]RT=3.4[/tex]
Since V is the midpoint of RT
So, [tex]TV=RV=\frac{RT}{2}[/tex]
[tex]TV=RV=\frac{3.4}{2}=1.7[/tex]
Basic Proportionality Theorem : It states that, if a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.
So, Using theorem :
[tex]\frac{RV}{RT}=\frac{UR}{SR}[/tex]
So, [tex]\frac{1.7}{3.4}=\frac{2.3}{SR}[/tex]
[tex]SR=2.3\times \frac{3.4}{1.7}[/tex]
[tex]SR=4.6[/tex]
Thus the length of SR is 4.6
Hence Option D is true.
