Question
Construct a quadrilateral ABCD in which AB = 4.4cm, BC = 4cm, CD = 6.4cm, DA = 3.8cm and BD = 6.6cm.
✓
Answer
First, we draw a rough sketch of the quadrilateral ABCD and write down its dimensions along the sides.We may divide the quadrilateral into two constructible triangles ABD and BCD.
Steps of Construction:
Step I: Draw BD = 6.6cm
Step II: With B as the centre and radius BC = 4cm, draw an arc.
Step III: With D as the centre and radius 6.4cm, draw an are to intersect th are drawn in Step II at C.
Step IV: With B as the centre and radius 4.4cm, draw an arc on the side BD opposite to that of C.
Step V: With D as the centre and radius 3.8cm, draw an arc to intersect the arc drawn in Step IV at A.
Step VI: Join BA, DA, BC and CD The quadrilateral ABCD so obtained is the required quadrilateral.
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