Question

Construct a cyclic quadrilateral $PQRS$ whose side $PQ=5.0cm$, $QS=6.0cm$, $PS=3.5cm$ and $RS=5.0cm$

Answer 1

Step 1: Construct the triangle PQS.
Step 2: Bisect the lines PQ and QS and extend the bisector lines to meet at point O.
Step 3: With O as origin, draw a circle passing through the points P, Q and S.
Step 4: From S, draw an arc of radius 5 cm to cut the circle at point R.
Step 5: Draw the quadrilateral PQRS.