Question

construct a parallelogram ABCD in which the diagonals AC is equal to 4 cm BD is equal to 5.8 CM and the angle between them is 60 degre​

Answer 1

Answer:

ANSWER

We know that the diagonals of a parallelogram bisect each other.

Steps of Construction:

(i) Draw AC=6.4 cm.

(ii) Bisect AC at O.

(iii) Make ∠COX=60

o

and produce XO to Y.

(iv) Set off OB=

2

1

(8.2)=4.1cm and OD=

2

1

(8.2)=4.1cm as shown.

(v) Join AB,BC,CD and DA.

Then, ABCD is the required parallelogram.

Measure the sides of the parallelogram. The sides are of length 3.7 cm and 6.3 cm. Therefore, perimeter =2(3.7+6.3)=20 cm