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As shown in the diagram, $PQ/QR=1/3.$ Find $[PAB]/[QAB].$

 

[PAB] means the area of triangle PAB. I'm asking for a ratio of the areas of the two triangles.
 

 

Thank you to whoever solves it! :)

 Jan 27, 2021
 #1
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Hint: quadrilateral ABQP can have a shape like a kite.

 Jan 27, 2021
 #2
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By mass points, [PAB]/[QAB] = 3/2.

 Jan 28, 2021

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