Finding the Length of PQ in Quadrilateral MNTS and MOPR Using Ratios

  • Thread starter lorddarkhelmet
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In summary, the conversation discusses finding the length of PQ in a quadrilateral using the ratios of the sides. After several attempts, it is determined that the ratio is not 5/4 but rather 40/24. It is also clarified that PO corresponds to TN in the diagram and has a length of 12. PO can be found by multiplying this length by the ratio.
  • #1
lorddarkhelmet
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Homework Statement



Quad MNTS ~ Quad MOPR Find the length of PQ

Homework Equations


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___
Small

The Attempt at a Solution



i have done numerous attempts and i can't figure out what to do after i get the ratio of 5/4
 

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  • #2
I do not see a Q in your diagram. Did you mean PO?
 
  • #3
If I am reading your picture correctly, the distance from O to N is 16 and the distance from N to M is 24. That means that the length of OM is 16+ 24= 40. The ratio of any side of the larger quad to the corresponding side of the smaller is 40/24 which is NOT 5/4!

Assuming you do mean PO, PO in quadrilateral MOPR corresponds to TN in quadrilateral MNTS which, according to your diagram has a length of 12. PO must be that length times the ratio.
 

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