We need to construct the required quadrilateral, when three sides and one diagonal of a cyclic quadrilateral are given.
Steps of construction:
Step 1: Draw a line segment FE = 7cm
Step 2: With F as centre and radius 6.5 cm draw an arc.
Step 3: With E as centre and radius 4.8 cm, draw another arc intersecting the previous arc at H.
Step 4: Join FH and EH.
Step 5: Draw the perpendicular bisectors of FE and EH intersecting each other at O.
Step 6: With O as centre and OF (= OE = OH ) as radius, draw the circumcircle of Δ EFH.
Step 7: With E as centre and radius 6.6cm, draw an arc intersecting the circle at G.
Step 8: Join FG and GH.
Thus, EFGH is the required cyclic quadrilateral.
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