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If PS is a median of triangle PQR and T is any point on PR such that ar(PST):ar( PQS) = 2:3, then ar(TSR): ar (PQR) |
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Answer» •PS is a median of triangle PQR and T is any point on PR such that AR(PST):ar( PQS) = 2:3 •Let ar(PST) = 2x and ar(PQS) = 3X •Since PS is the median of ΔPQR, ar(PQS) = ar(PSR) = ar(PST) + ar (TSR) implies, 3x = 2x + ar(TSR) implies, ar(TSR) = x •Now, ar(PQR) = ar(PQS) + ar(PST) + ar(TSR) = 3x + 2x + x = 6x •Therefore, ar(TSR) : ar(PQR) = 1:6 |
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