Question

Construct a parallelogram, one of whose sides is 4.4 cm and whose diagonals are 5.6 cm and 7 cm. Measure the other side.

Answer 1

Steps of Construction :

We know that diagonals of a parallelogram bisect each other.

(i) Draw a line segment AB = 4.4 cm.

(ii) With centre A and radius $\frac{5.6}{2}cm$ and with centre B and radius $\frac{7}{2}=3.5cm.$ draw arcs intersecting each other at 0.

(iii) Join AO and BO and produce them to C and D respectively such that OC = 2.8 cm and OD 3.5 cm.

(iv) Join AD, CD and BC

ABCD is thf: required parallelogram.