S and T are points on sides PR and QR of `DeltaPQR` such that `angleP = angleRTS` . Show that `DeltaRPQ ~DeltaRTS`.

S and T are point on sides PR and QR of Delta PQR such that /_ P = /_ RTS . Show that Delta RPQ - Delta RTS .

S and T are points on sides PR and QR of Delta PQR such that . Show that Delta RPQ~Delta RTS .

sides AB and BC and median AD of a triangle ABC are respectively proportional to side PQ and QR median PM of DeltaPQR (see Fig ). Show that DeltaABC~DeltaPQR

If S is a point on side PQ of a Delta PQR such that PS = QS = RS , then find PR^(2) + QR^(2)

In Fig (QR)/(QS)=(QT)/(PR)= and angle1 = angle2. show that DeltaPQS ~DeltaTQR .

D is a point on the side BC of a triangle ABC such that angleADC=angleBAC . Show CA^(2)=CB.CD

AB is line segment and P is its mid point. D and E are points on the same side of AB such that BAD = ABE and EPA = DPB show that (i) Delta DAP ~= Delta EBP (ii) AD = BE

If S is the mid-point of side QR of a DeltaPQR , then prove that PQ+PR=2PS .

side AB and AC and median AD od a triangle ABC are respectively proportional to side PQ and PR and median PM of another triangle PQR. Show that DeltaABC~DeltaPQR

E and F are points on the sides PQ and PR respectively of Delta PQR. For each of the following cases, state whether EF || QR: (i) PE=3.9 cm, EQ=3 cm,PF=3.6 cm,FR=2.4cm (ii) PE=4 cm,QE=4.5 cm,PF=8 cm,RF=9 cm (iii) PQ=1.28cm,PR=2.56 cm,PE=0.18cm,PF=0.36cm