Draw quadrilateral ABCD using the following data
AB = 5.5
BC= 2.5
AC = 4 CM
ANGLE A = 65 ANGLE B = 55 DEGREE
( Angle D and AD BD is not given . Is it is possible to construct the Quadrilateral or not ?? )
Answer :
We can form our figure from given information , As :
Step 1 ) Draw a line AB = 5.5 cm
Step 2 ) Construct angle of 65 , At point ' A ' and angle of 55 at point ' B ' .
Step 3 ) Now take radius of 2.5 cm and center as B and draw an arc on angle B , ray that meet at ' C ' . As BC = 2.5 cm
Step 4 ) Now take radius of 4 cm and center as A draw an arc on angle B , ray that meet at ' C ' . AC = 4 cm
But we don't know the length of CD or AD or any angle to form a line CD or AD ,
SO we can say that we can form our figure as , But not a quadrilateral from given information .
We can form our figure from given information , As :
Step 1 ) Draw a line AB = 5.5 cm
Step 2 ) Construct angle of 65 , At point ' A ' and angle of 55 at point ' B ' .
Step 3 ) Now take radius of 2.5 cm and center as B and draw an arc on angle B , ray that meet at ' C ' . As BC = 2.5 cm
Step 4 ) Now take radius of 4 cm and center as A draw an arc on angle B , ray that meet at ' C ' . AC = 4 cm
But we don't know the length of CD or AD or any angle to form a line CD or AD ,
SO we can say that we can form our figure as , But not a quadrilateral from given information .