Question

Construct a quadrilateral ABCD, when: AD = AB = 4 cm, BC = 2.8 cm, CD = 2.5 cm and $angleBAD={45}^{\circ }$.

Answer 1

Steps of construction:

$\Rightarrow$ Draw a line segment AB = 4cm.

$\Rightarrow$ Construct an angle of ${45}^{\circ }$ at A.

$\Rightarrow$ Cut off AD = 4cm.

$\Rightarrow$ With B as a center and BC = 2.8cm as radius, draw an arc.

$\Rightarrow$ With D as a center and CD = 2.5cm as radius, draw an arc intersecting the point at C.

$\Rightarrow$ BC and CD.

Thus, ABCD is the required quadrilateral.