Two triangles QPR and QSR, right angled at P and S respectively are drawn on the same base QR and on the same side of QR. If PR and SQ intersect at T, prove that `PT xx TR= ST xx TQ`.

Two triangles BACandBDC, right angled at Aand D respectively,are drawn on the same base BC and on the same side of BC. If AC and DB intersect at P, prove that APxPC=DPxPB.

Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, are drawn on the same base B C and on the same side of B C . If A C and D B intersect at P , prove that A P*P C=D P*P Bdot

Two triangles DeltaPQR and DeltaSQR are drawn on the same base QR and on the same side of QR and their areas are equal. If F and G are two centroids of two triangles, then prove that FG||QR .

In the figure, RQ _|_ PQ, PQ _|_ PT and ST _|_ PR. Prove that: ST xx QR = PS xx PQ

PQR is a triangle in which PQ=PR and S is any point on the side PQ. Through S, a line is drawn parallel to QR and intersecting PR at T. Prove that PS=PT

PQR is a triangle is which PQ=PR and S is any point on the side PQ. Through S, a line is drawn parallel to QR and intersecting PR at T. Prove that PS=PT

PQR is a triangle in which PQ=PR and S is any point on the side PQ. Through S, a line is drawn parallel to QR and intersecting PR at T. prove that PS=PT.

In Figure,T is a point on side QR of PQR and S is a point such that RT=ST .Prove That :PQ+PR>QS