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

PRT S ∥ P R. What is the length of QS?-example-1
User Edward Loper
by
6.8k points

1 Answer

3 votes

Answer:

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

User Botond
by
6.6k points
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