Question
Construct a quadrilateral $ABCD$ in which $AB = 3.5\ cm, BC = 3.8\ cm, CD = DA = 4.5\ cm$ and diagonal $BD = 5.6\ cm.$
✓
Answer
Steps of construction:
Step 1: Draw $AB = 3.5\ cm$
Step 2: With $B$ as the centre and radius equal to $5.6\ cm, $ draw an arc.
Step 3: With $A$ as the centre and radius equal to $4.5\ cm,$ draw another arc, cutting the previous arc at $D.$
Step 4: Join $BD$ and $AD.$
Step 5: With $D$ as the centre and radius equal to $4.5\ cm,$ draw an arc.
Step 6: With $B$ as the centre and radius equal to $3.8\ cm,$ draw another arc, cutting the previous arc at $C.$
Step 7: Join $BC$ and $CD.$
Thus, $ABCD$ is the required quadrilateral.
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