Construct a quadrilateral `A B C D` given `A D=5c m ,\ A B=5. 5 c m ,\ B C=2. 5 c m ,\ A C=7. 1 c m\ a n d\ B D=8c mdot`

Explanation

Steps of the constructions:
Step 1:-Draw the `AB `=` 5.5` cm
Step II:- With` A`as the center and radius`7.1cm` and draw an arc.
Step III:- With` B` as the center and radius `2.5 `cm and draw an arc to intersect the arc drawn in step II at `C`.
Step IV:- With`B` as the center and radius`8 cm `and draw an arc.
Step V:- With`A`as the center and radius `5 cm`and draw an arc to intersect the arc drawn in step IV at` D`.
Step VI:- Join `DA`, `DB`, `BC`, `AC`and `CD`.
Then, the obtained the required quadrilateral ABCD.