Question

Construct a quadrilateral $ABCD$ with $AB=5.5cm,BC=3.5cm,CD=4cm,AD=5cm$ and $\angle A={45}^o$

Answer 1

Steps for construction:

Step 1: Draw a line segment $AB=5.5$ cm.

Step 2: Construct an angle$\angle XAB={45}^{\circ }$ at $A$.

Step 3: On line $AX$ make a line segment $AD=5$ cm.

Step 4: With $B$ as centre and radius $=3.5$ cm draw an arc.

Step 5: With $D$ as center and radius $=5$ cm draw an arc to cut the previous arc at $C$.

Step 6: join $BC$ and $CD$

Hence, $ABCD$ is a required quadrilateral.