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 \(RQC\) .
The ratio of the area of triangle QBC to the area of triangle RQC is 4/7.
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
