In the figure, seg `DE||` side `AB`. `DC=2BD`, `A(DeltaCDE)=20cm^(2)`. Find `A(squareABDE)`.

In the figure A-D-C and B-E-C seg DE|| side AB. If AD=5, DC=3, BC=6.4 then find BE.

In the figure, set DH_|_ side EF and seg GK_|_ side EF. If DH=12cm, GK=20 and A(DeltaDEF)=300cm^(2) . Find (i) EF(ii) A(DeltaGEF) (iii) A(squareDEGF) .

In the adjoining figure, seg EF abs() side AC, AB = 18, AE = 10, BF = 4. Find BC.

In the adjoining figure, seg PQ abs() seg DE, A(DeltaPQF) = 20 sq. uints, PF = 2 DP, then find A (square DPQE) by completing the following activity.

In the figure, seg AB|| seg CD|| seg EF AC=1.5 , BD=10 , DF=6 then AE=?

In DeltaABC , seg DE|| side BC . If 2Ar(DeltaADE)=Ar(squareDBCE) , find AB:AD and show BC=sqrt(3)xxDE .

In the given figure, DE|||BC,AD=2cm, BD=2.5 cm, AE= 3.2cm and DE=4 cm . Find AC and BC.

In the figure, seg AD bot side BC and B-D-C , then prove AB^(2)-BD^(2)=AC^(2)-CD^(2) .

In the adjoining figure,seg DE abs() side AC and seg DC abs() side AP. Prove that (BE)/(EC) = (BC)/(CP) .

In the figure AB||DC and DE||BF. Find the value of x.