Question

PRT S ∥ P R. What is the length of QS?

Answer 1

QS = 20

Explanation:

Since TS is parallel to PR and intersects the other 2 sides then it divides those sides proportionally, that is

`(QT)/(TP)` =
`(QS)/(SR)`, substitute values

`(25)/(15)` =
`(QS)/(12)` ( cross- multiply )

15QS = 300 ( divide both sides by 15 )

QS = 20