Question
Construct a parallelogram $\text{ABCD},$ when:$AB = 5.8 \ cm,$ diagonal $AC = 8.2 \ cm$ and diagonal $BD = 6.2 \ cm.$
✓
Answer
Steps:
$1.$ Since diagonal of a parallelogram bisect each other, construct $O A B$
such that;
$ OA =\frac{1}{2} AC =\frac{1}{2} \times 8.2 \ cm =4.1 \ cm$
$ OB =\frac{1}{2} BD =\frac{1}{2} \times 6.2 \ cm =3.1 \ cm $
and $A B=5.8 \ cm$.
$2.$ Produce $A O$ up to $C$, such that $O C=O A=4.1 \ cm$ and $B O$ up to $D$,
such that $D O=O B=3.1 \ cm$.
$3.$ Join $AD , DC$, and $CB$.
$\text{ABCD}$ is the required parallelogram.
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