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

Respuesta :

if this is the picture the answer is 7cm 
Ver imagen prissy122399pdpazng1

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,

[tex]\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[/tex]

Hence, the length of SQ is 7 cm.

Ver imagen RenatoMattice
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