Respuesta :

Answer:

QS = 20

Step-by-step explanation:

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

[tex]\frac{QT}{TP}[/tex] = [tex]\frac{QS}{SR}[/tex], substitute values

[tex]\frac{25}{15}[/tex] = [tex]\frac{QS}{12}[/tex] ( cross-  multiply )

15QS = 300 ( divide both sides by 15 )

QS = 20