Question
construct a quadrilateral $ABCD$ in which $AB = 3.4\ cm, CD = 3\ cm, DA = 5.7\ cm, AC = 8\ cm$ and $BD = 4\ cm.$
✓
Answer
Steps of construction:
Step 1: Draw $AB = 3.4\ cm.$
Step 2: With $B$ as the centre and radius equal to $4\ cm,$ draw an arc.
Step 3: With $A$ as the centre and radius equal to $5.7\ cm,$ draw another arc, cutting the previous arc at $D.$
Step 4: Join $BD$ and $AD.$
Step 5: With $A$ as the centre and radius equal to $8\ cm,$ draw an arc.
Step 6: With $D$ as the centre and radius equal to $3\ cm,$ draw another arc, cutting the previous arc at $C.$
Step 7: Join $AC, CD$ and $BC.$
Thus, $ABCD$ is the required quadrilateral.
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