Construct a quadrilateral ABCD given BC = 6.6cm, CD = 4.4cm, AD =… - Vidyadip

Question

Construct a quadrilateral ABCD given BC = 6.6cm, CD = 4.4cm, AD = 5.6cm and $\angle\text{C}=100^\circ$ and $\angle\text{C}=95^\circ.$

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Answer

Steps of construction:
Step I: Draw DC = 4.4cm.
Step II: Construct $\angle\text{ADC}=100^\circ$ at D.
Step III: With D as the centre and radius 5.6cm, cut off DA = 5.6cm.
Step IV: Construct $\angle\text{BCD}=95^\circ$ at C.
Step V: With C as the centre and radius 6.6cm, cut off CB = 6.6cm.
Step VI: Join AB.
The quadrilateral so obtained is the required quadrilateral.

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