ST//RQ,PS=3cm and SR=4cm find the ratio of triangle PST TO THE AREA OF TRIANGLE PRQ - Maths - Coordinate Geometry

Question

ST//RQ,PS=3cm and SR=4cm find the ratio of triangle PST TO THE AREA
OF TRIANGLE PRQ

Varun Rawat · Accepted Answer

Since, ST∥RQ and PR is a transversal, then∠PST = ∠PRQ  Corresponding anglesSince, ST∥RQ and PQ is a transversal, then∠PTS = ∠PQR Corresponding anglesIn ∆PST and ∆PRQ∠PST = ∠PRQ  Proved above∠PTS = ∠PQR  Proved above⇒∆PST ~ ∆PRQ   AA similarityWe know that ratio of area of 2 similar ∆'s is equal to the square of the ratio of their corresponding sides
Now, ar∆PSTar∆PRQ = PSPR2 = 372 = 949

ST//RQ,PS=3cm and SR=4cm.find the ratio of triangle PST TO THE AREA OF TRIANGLE PRQ