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Solve this:

3. Angle A=90^{o}, AB=4.6 cm, BD=6.4 cm, AC=0.6 cm and CD=4.2 cm.

4. AB=3.8cm, AC=4.8 cm, AD=2.8 cm, angle A=105^{o} and angle B=60^{o}
Solve this:

Please find below the solution to the asked query:

3 ) We construct quadrilateral from given information , As :

Step 1 : Draw a line AB = 4.6 cm

Step 2 : Take any radius ( Less than half of AB ) and center ' A ' we draw a semicircle that intersect line AB at ' P ' . With same radius and center ' P ' we draw an arc that intersect our semicircle at ' Q ' . Again with same radius and center ' Q ' we draw an arc that intersect our semicircle at ' R ' . Now with same radius and center ' Q ' and ' R ' we draw arcs and these arcs intersect each other at ' S ' .

Step 3 : Join AS and extend to ' X ' we get line AX .

Step 4 : Take radius of 6.4 cm and take center at ' B ' we draw an arc that intersect line AX at ' D ' .

Step 5 : Take radius of 6 cm and take center at ' A ' we draw an arc and by taking radius of 4.2 cm and take center at ' D ' we draw an arc and these arcs intersect each other at ' C ' .

Step 6 : Join BC and CD , We get required quadrilateral ABCD .

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