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R is the midpoint of line segment PT, and Q is the midpoint of the line segment PR. If S is a point between R and T such that the length of QS is 10 and the length of segment PS is 19, what is the length of segment ST?

 Jan 1, 2020
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  Q     R    S       T 

        

QS   = 10

PS  = 19

 

So

PS - QS  =  PQ

19   -10   =   9  =  PQ

 

So   QR    =   9

So

PQ + QR  =  PR  =  1/2  of PT

9 +  9   =   18  =  PR  = 1/2 of PT

So PT  =36

 

PS - PR   = RS

19  - 18  =  1  = RS

 

So

PQ  + QR  + RS  +  ST   =  PT

PS  +  ST   =   36

19 + ST  = 36

17  =  ST

 

 

cool cool cool

 Jan 2, 2020

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