Question

In the figure, PQ is parallel to RS. The length of RP is 8 cm; the length of PT

is 16 cm; the length of SQ is 11 cm. What is the length of QT

Answer 1

QT = 22 cm.

Explanation:

RP / PT = SQ / QT

8/16 = 11/ QT

1/2 = 11/QT

QT = 2*11

QT = 22 cm.

Answer 2

A. 22 cm

Explanation:

By the Thales Theorem we know that: If we have two parallel straight lines and they cut other two ones, for example lines of a triangle then they produce proportional segments, which means:

RP is proportional to PT and SQ is proportional to QT, we can express that as:

RP/PT=SQ/QT

And we have:

RP is 8 cm

PT is 16 cm

SQ is 11 cm

Then:

8/16=11/QT

We have to calculate QT:

QT= (16*11)/8 =22cm