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In the figure above, what is the Value of PT/PS ?

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2 Answers 2

up vote 3 down vote accepted

Well, since triangles $PQT$ and $PRS$ are similar (All three angles equal) I think that the proportion will also be the same between the sides.

$QT$ over $RS$ is 8/10, so the proportion of $PT$ over $PS$ should also be 8/10 (or 4/5) methinks.

Correct me if I'm wrong :)

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1  
That's correct (see similar triangles for a reference if you like). –  gnometorule Feb 24 '13 at 17:04

Triangle PRS similar to PQT.(Since all angles are equal.)

$PR/PQ$=$PS/PT$=$RS/QT$=$10/8$

PT/PS= 8/10=4/5 .

:)

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