Question
Construct a quadrilateral $ABCD$ in which $AB = 4.2\ cm, BC = 6\ cm, CD = 5.2\ cm, DA = 5\ cm$ and $AC = 8\ cm.$
✓
Answer
Steps of construction:
Step 1: Draw $AB = 4.2\ cm.$
Step 2: With $A$ as the centre and radius equal to $8\ cm,$ draw an arc.
Step 3: With $B$ as the centre and radius equal to $6\ cm,$ draw another arc, cutting the previous arc at $C.$
Step 4: Join $BC.$
Step 5: With $A$ as the centre and radius equal to $5\ cm,$ draw an arc.
Step 6: With $C$ as the centre and radius equal to $5.2\ cm,$ draw another arc, cutting the previous arc at $D.$
Step 7: Join $AD$ and $CD.$
Thus, $ABCD$ is the required quadrilateral.
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