Question
Construct a quadrilateral $\text{ABCD}\ ;$ if : $AB = 4.3 \ cm, BC = 5.4, CD = 5 \ cm, DA = 4.8 \ cm$ and angle $ABC = 75^\circ .$

Answer

The rough figure is as follow :

The actual figure is as follow:


Steps :
  1. Draw $AB = 4.3 \ cm.$
  2. At $B$, draw $\angle PBA = 75^\circ$
  3. Cut $BC = 5.4 \ cm$.
  4. From $C A,$ draw arcs of radii $5 \ cm$ and $4.8 \ cm$ respectively which intersect at $D$.
  5. Join $AD$ and $DC$.
    $\text{ABCD}$ is the required quadrilateral.

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