Question
Construct a parallelogram $ABCD$ in which $AB = 4.3\ cm, AD = 4\ cm$ and $BD = 6.8\ cm.$
✓
Answer
Steps of construction:
Step 1: Draw $AB = 4.3\ cm.$
Step 2: With $B$ as the centre, draw an arc of $6.8\ cm.$
Step 3: With $A$ as the centre, draw another arc of $4\ cm,$ cutting the previous arc at $D.$
Step 4: Join $BD$ and $AD.$
Step 5: We know that the opposite sides of a parallelogram are equal.
Thus, with $D$ as the centre, draw an arc of $4.3\ cm.$
Step 6: With $B$ as the centre, draw another arc of $4\ cm,$ cutting the previous arc at $C.$
Step 7: Join $CD$ and $BC.$
Then, $ABCD$ is the required parallelogram.
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