Answer:
8.4 units
Step-by-step explanation:
Thales's theorem (Basic Proportionality Theorem) 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.
The diagram shows four parallel lines SU, ZR, XQ and PT, then by Thales's theorem,
[tex]\dfrac{PQ}{TX}=\dfrac{QR}{XZ}=\dfrac{RS}{ZU}[/tex]
Since
[tex]PQ=QR=RS,[/tex]
then
[tex]TX=XZ=ZU[/tex]
Given that [tex]TX=2.8\ units,[/tex] you can state that
[tex]TU=TX+XZ+ZU=2.8+2.8+2.8=8.4\ units[/tex]
