Question

Construct a parallelogram ABCD to the following measurements: AB = 6.8 cm, AC = 8 cm, BD = 7.3 cm.
Give the answer with figure and also step by step.​

Answer 1

Answer:

The diagonals of a parallelogram bisect each other.

AO=\frac{1}{2}\times AC= \frac{1}{2}\times 8

2

1

×AC=

2

1

×8 =4cm

BO=\frac{1}{2}\times BD= \frac{1}{2}\times 7.3

2

1

×BD=

2

1

×7.3 =3.65cm

To draw the parallelogram follow the steps shown below:

1) Draw a line AB= 6.8cm

2) Draw a curve from point A with the measure of 4cm.

3) Draw a curve from point B with the measure of 3.65cm which cuts the curve at point O.

4) Join AO and OB

5) Extend AO to a point C such that OC = 4cm

6) Extend BO to a point D such that OD = 3.65 cm

7) Join BC,CD and AD

Answer 2

Answer:

Construct a parallelogram ABCD to the following measurements: AB = 6.8 cm, AC = 8 cm, BD = 7.3 cm.