Mathematics · Geometry

In a triangle PQR, a line segment ST is drawn parallel to QR such that S lies on PQ and T lies on PR. If ST || QR and ST : QR = 3 : 8, then find the ratio of the area of ΔPST to the area of trapezium QRTS.

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9 : 55

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In a triangle PQR, a line segment ST is drawn parallel to QR such that S lies on PQ and T lies on PR. If ST || QR and ST : QR = 3 : 8, then find the ratio of the area of &Delta;PST to the area of trapezium QRTS.