Question

Construct a parallelogram ABCD whose diagonal AC =8.3 and BD =5.6 cm. Also one angle between the diagonal is 120 degree.​

Answer 1

$ABCD$ is the required parallelogram.

Step-by-step explanation:

Given,

Construct a parallelogram $ABCD$ whose diagonal $AC =8.3\ cm\ and\ BD=5.6\ cm$.Also one angle between the diagonal is $120\ degree$

Following steps:

• Draw an angle $120\ degree$ like $\angle XOY=120\ degree$ using protector.

• Extend the line $XO$ and $YO$ on opposite direction like $XX^{'}$ and $YY^{'}$

• Cuts $AC=8.3\ cm$ on line $XX^{'}$ where $O$ as a mid point of $AC$

• Also, Cuts $BD=5.6\ cm$ on line $YY^{'}$ where $O$ as a mid point of $BD$

• Join $AB,BC,CD\ and\ DA$

Hence, $ABCD$ is the required parallelogram.