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In the diagram below, we have \(PQ = 2AP = 2QB\) and \(AR/RC = 2/3\) . Find the ratio of the area of triangle \(QBC\) to the area of triangle \(RQC\) .

 

 

 Dec 24, 2019
 #1
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The ratio of the area of triangle QBC to the area of triangle RQC is 4/7.

 Dec 24, 2019
 #2
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1st attempt:   The triangle ABC has a 90° angle at a vertex A.   

The ratio of the area of a triangle QBS to the area of a triangle RQC is   5/9    or  5 : 9   ( 0.555555 )

 

2nd attempt:   The triangle ABC has a 45° angle at a vertex A.

The result is the same:   the ratio is 5 / 9

indecision

 Dec 24, 2019

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