4 years ago

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

Mathematics

1 answer:

notsponge [240]4 years ago

6 0

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

$\frac{QT}{TP}$ = $\frac{QS}{SR}$ , substitute values

$\frac{25}{15}$ = $\frac{QS}{12}$ ( cross- multiply )

15QS = 300 ( divide both sides by 15 )

QS = 20

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