Question
Construct a quadrilateral ABCD, given that AB = 8cm, BC = 8cm, CD = 10cm, AD = 10cm and $\angle\text{A}=45^\circ.$

Answer


Steps of Construction:
Step I: Draw AB = 8cm.
Step II: Construct $\angle\text{BAD}=45^\circ.$
Step III: With A as the centre and radius 10cm, cut off AD = 10cm.
Step IV: With D as the centre and radius 10cm, draw an arc.
Step V: With B as the centre and radius 8cm, draw an arc to intersect the arc drawn in Step IV at C.
Step VI: Join BC and CD to obtained the required quadrilateral.

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