Verified Answer :

yadvi3

QP is the same as TS and
PR is the same as SU and
QR is the same as TU

So,

QP/ TS = QR/TU
When you cross multiply, TS = (13×2)/4
The answer is 26/4 which is 6.5

Answer:

TS = 6.5

Step-by-step explanation:

In two similar triangles corresponding sides are in the same ratio.

Therefore \(\frac{PQ}{TS}=\frac{QR}{TU}\)

Given in the question

QR = 4

PQ = 2

TU = 13

Therefore \(\frac{2}{TS}=\frac{4}{13}\)

TS = 13×2/4 = 26/4 = 6.5

Answer is TS = 6.5