Question

construct a quadrilateral ABCD given that

AB = 5.5 Cm, BC = 4 cm CD = 6 cm, < A = 60 ° and <B = 120 °​

Answer 1

Answer:

>>> We can define quadrilaterals as polygons that have four sides.

1. Construct quadrilaterals when four sides and one diagonal is given.

Construct a quadrilateral PQRS where PQ = 4 cm, Oq = 6 cm, RS = 5 cm, PS = 5.5 cm and PR= 7 cm

Quadrilaterals

Draw Δ PQR using SSS construction condition.

With P as the centre, draw an arc of radius 5.5 cm.

With R as the centre, draw an arc of radius 5 cm.

S is the point of intersection of the two arcs. Also, mark S and complete PQRS.

PQRS is the required quadrilateral.

2. Construct quadrilaterals when four sides and one diagonal is given.

Construct a quadrilateral ABCD where BC = 4.5 cm, AD = 5.5 cm, CD = 5cm and the diagonal AC = 5.5 cm, diagonal BD = 7 cm

Quadrilaterals

Draw ΔACD using SSS construction condition

Taking D as the centre, draw an arc of radius 7 cm.

Now let C be the centre, draw an arc of radius 4.5 cm

Since B lies on both the arcs, B is the point intersection of the two arcs.

Mark B and complete ABCD.

ABCD is the required quadrilateral