Construct a parallelogram PQRS with `angle P = 75^(@)` and adjacent sides PQ = 7 cm and PS = 5.5 cm.

Construct a parallelogram ABCD with angle A = 60^(@) and adjacent sides AB = 4 cm and AD = 7 cm.

Construct a triangle PQR with PQ = 4 cm, angle P = 75^(@), and angle R = 65^(@) .

The area of a parallelogram PQRS is 162cm^(2) This parallelogram has adjacent sides PQ = 27 cm and QR = 12 cm . Find the distance between its longer sides and that between its shorter sides .

Construct a Delta ABC with angle B = 50^(@), angle C = 60^(@) , and sides BC = 7.5 cm.

Construct a right angled triangle PQR, in which angleQ =90^(@) , hypotenuse PR =8 cm and QR = 4.5 cm. Draw bisector of angle PQR and let it meet PR at point T. Prove that T is equidistant from PQ and QR.

Construct a triangle PQR with PQ = 9 cm, angle P = 55^(@), angle R = 35^(@) .

Construct a quadrilateral ABCD with angle B = angle C = 75^(@) , BC = 6 m, AB = 4.8 cm and CD = 5 cm .

Construct a triangle PQR with sides PQ = 5 cm, QR = 4 cm, and angle PQR = 100^(@) .

ABCD is a parallelogram having adjacent sides AB = 35 cm and BC = 28 cm . If the distance between its longer sides is 8 cm , find : (i) the area of the parallelogram (ii) the distance between its shorts sides

Construct a parallelogram ABCD in which diagonal AC = 6-3 cm, diagonal BD = 7cm and the acute angles between the diagonals is 45°