Question
construct a quadrilateral ABCD in which AB = 3.4cm, CD = 3cm, DA = 5.7cm, AC = 8cm and BD = 4cm.

Answer


Steps of construction:
Step 1: Draw AB = 3.4cm.
Step 2: With B as the centre and radius equal to 4cm, draw an arc.
Step 3: With A as the centre and radius equal to 5.7cm, 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 8cm, draw an arc.
Step 6: With D as the centre and radius equal to 3cm, 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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