Construct `DeltaXYZ` in which `angleY = 30^(@), angleZ = 60^(@)` and XY + YZ + ZX = 10 cm

Construct a triangle ABC, in which angleB = 60^@ , angleC = 45^@ and AB + BC + CA = 11 cm.

Construct a DeltaABC in which angleB=60^@ , angleC = 40^@ and the perimeter of DeltaABC = 10 cm .

Construct DeltaABC in which BC = 4.2 cm, angleB = 60^@ and AB – AC = 1.6 cm.

Construct Delta ABC in which AB = 4 cm, BC = 5cm and angleB = 50^@

Construct DeltaABC in which BC = 5 cm, angleB = 45^@ and AC – AB = 1.8 cm.

Construct DeltaPQR in which QR= 8 cm, angleQ=60^@ and PQ – PR = 3.5 cm

Construct DeltaABC in which BC=7 cm, angleB=75^@ and AB+AC= 12 cm .

Construct /_\ ABC in which AB = 4 cm, BC = 5 cm and angleB = 50^@ .

Sushant prepared a problem. Construct /_\ XYZ in which XY =2 cm , YZ = 8 cm and XZ = 4 cm. He also drew the rough sketch as shown is figure (i).Reading the problem, Srija told Sushant that it would not be possible to draw the triangle with the given measurements. However, Sushant started to draw the diagram as shown in figure (ii). Check whether Sushant can draw the triangle. If not why? Discuss with your friends. What property of triangles supports Srija's idea?