Consruct a quadrilateral ABCD such that AB=BC=5.5 cm,CD=4 cm, DA=6.3 cm, and AC=9.4 cm, Measure BD.

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Solution

(i) Draw a line segment AC=9.4 cm,
(ii) With centre A and C and radius 5.5 cm, draw arcs intersecting each other at B.
(iii) Join AB and CB.
(iv) Again with centre A and radius 6.3 cm, and such cenre C and radius 4 cm, draw arcs intersecting such other at D below the line segment AC.

(v) Join AD and CD .
Then ABCD is the required quadrilateral. On measuring BD, it is 5 cm,

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