Question

Pq is parallel to rs the length of rp is 6cm the length of pt is 18cm the length of qt is 21cm what is the length of sq

Answer 1

if this is the picture the answer is 7cm 

Answer 2

Answer: The length of SQ is 7 cm.

Step-by-step explanation:

Since we have given that

Length of RP = 6cm

Length of PT = 18 cm

Length of QT = 21 cm

We need to find the length of SQ.

Since PQ is parallel to RS.

So, their ratio would be same anyhow.

So, it becomes,

$\dfrac{RP}{PT}=\dfrac{SQ}{QT}\\\\\dfrac{6}{18}=\dfrac{SQ}{21}\\\\\dfrac{1}{3}=\dfrac{SQ}{21}\\\\SQ=\dfrac{21}{3}\\\\SQ=7\ cm$

Hence, the length of SQ is 7 cm.