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In the diagram below, SR = PQ = 20 and RT:TS = 2:5. Find UV.

 

 Jun 18, 2024
 #1
avatar+129733 
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ST =  (5/7) .....SR = (5/7)QP  →  SR / QP = 5/7 

 

Triangles SUT  and  QUP  are similar

 

So VR   = (5/7) QV  →  VR /QV  = 5/7

 

So  QV =  (7/12)QR  →  QV / QR  = 7/12

 

UV is parallel to SR

 

So 

 

QV /QR  =UV /SR

 

7 /12 =  UV / 20

 

UV = (20)(7/12)  =  140/12  = 35 / 3 =  11 + 2/3

 

cool cool cool

 Jun 18, 2024

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