Question

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

Answer 1

Construction :

(1) Construct a line segment AB of length 4.4cm.

(2) As we know that diagonals of parallelogram bisects each other, so at point A, mark an arc taking 3.5cm as radius.

(3) Now from B, mark an arc taking 2.8cm as radius. Name the point of intersection as 'O'.

Joint OA and OB.

(4) Extend AO and BO. From O, mark an arc on extended ray AO of radius 3.5cm. Name it as C.

(5) Similarly mark an arc on extended ray BO of radius 2 cm. Name it as D.

(6) Join AD, DC and BC.

ABCD is required parallelogram with AC = 7cm and BD = 5.6cm.

Answer 2

Answer:

thus ABCD is the required parallelogram.