Question

Construct a quadrilateral $ABCD$ in which $AB=5cm,BC=6cm,CD=4cm,AD=3cm$ and diagonal $AC=5cm.$

Answer 1

$\Rightarrow$ Draw a line segment AB = 5cm.

$\Rightarrow$ With A as a center and radius AC = 5cm, draw an arc.

$\Rightarrow$ With B as a center and radius BC = 6cm, draw an arc, intersecting the previous arc at point C.

$\Rightarrow$ With A as a center and radius AD = 3cm, draw an arc.

$\Rightarrow$ Take C as a center with radius CD = 4cm draw an arc intersecting the previous arc at point D.

$\Rightarrow$ Join AC, BC, AD and CD.

Thus, ABCD is a required quadrilateral.