GD and GH are respectively the bisectors of `angleACB and angleEGF` such that D and H lie on sides AB and FE of `DeltaABC and and DeltaEFG` respectively. If `DeltaABC~DeltaFEG` , show that:
`(CD)/(GH) =(AC)/(FG)`

GD and GH are respectively the bisectors of angleACB and angleEGF such that D and H lie on sides AB and FE of DeltaABC and and DeltaEFG respectively. If DeltaABC~DeltaFEG , show that: DeltaDCA~DeltHGF

GD and GH are respectively the bisectors of angleACB and angleEGF such that D and H lie on sides AB and FE of DeltaABC and and DeltaEFG respectively. If DeltaABC~DeltaFEG , show that: DeltaDCB ~DeltaHGE

CD and GH are respectively the bisectors of lfloorACBandlfloorEGF such that D and H lie on sidea AB and FE of DeltaABCandDeltaEFG respectively. If DeltaABC~DeltaFEG , show that. i] (CD)/(GH)=(AC)/(FG) ii] DeltaCDB~DeltaHGE iii] DeltaDCA~DeltaHGF

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

D,Eand F are respectively the mid - points of sides AB, BC and CA of DeltaABC . Find the ratio of the areas of DeltaDEF and DeltaABC.

In adjacent figure, sides AB and AC of DeltaABC are extended to points P and Q respectively. Also, /_PBC AB.

If D, E and F are respectively, the mid-points of AB, AC and BC in DeltaABC , then BE + AF is equal to

AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD. Show that angleA lt angleC and angleB gt angleD .

D and E are points on sides AB and AC respectively of Delta ABC such that ar (DBC) = ar EBC). Prove that DE |\| BC.

In the given figure sides AB and AC of triangleABC , are extended to point P and Q respectively. Also anglePBC lt angleQCB . Show that AC gt AB .