Question

Construct a quadrilateral $ABCD,$ given that $BC=4.5cm,AD=5.5cm$ and $CD=5cm$, the diagonal $AC=5.5cm$ and the other diagonal $BD=7cm$.

Answer 1

Steps of construction are given below :

$\Rightarrow$ Draw line segment BC of length 4.5cm.

$\Rightarrow$ With C as a center and radius CD = 5cm draw an arc.

$\Rightarrow$ With B as a center and radius BD = 7cm draw an arc intersecting the previous arc at D.

$\Rightarrow$ Again with C as the center and 5.5cm as a radius draw an arc.

$\Rightarrow$ Then with D as the center and 5.5cm as radius, draw an arc intersecting the point at A.

$\Rightarrow$ Join AB, AD, CD, BD, and AC.

Thus, ABCD is a required quadrilateral.