Question
Construct a quadrilateral ABCD in which AB = BC = 3.5cm, AD = CD = 5.2cm and $\angle\text{ABC}=120^\circ.$

Answer


Steps of construction:
Step 1: Draw AB = 3.5cm.
Step 2: Make $\angle\text{ABC}=120^\circ.$
Step 3: With B as the centre, draw an arc 3.5cm and name that point C.
Step 4: With C as the centre, draw an arc 5.2cm.
Step 5: With A as the centre, draw another arc ​5.2cm, cutting the previous arc at D.
Step 6: Join CD and AD.
Thus, ABCD is the required quadrilateral.

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