Question

Draw a parallelogram ABCD, with AB = 6 cm, AD = 4.8 cm and ∠DAB = 45°. Draw the perpendicular bisector of side AD and let it meet AD at point P. Also draw the diagonals AC and BD ; and let they intersect at point O. Join O and P. Measure OP.

Answer 1

Steps :

1. Draw AB = 6 cm. 

2. Draw ∠PAB = 45°. 

3. Cut AD = 4.8 cm. 

4. From D, draw an arc of radius 6 cm. 

5. From B, draw an arc of radius 4.8 cm which meets first arc at C. 

6. Join BC, CD, AD. Thus ABCD is the required ||gm. 

7. Draw perpendicular bisector XY of AD which cuts AD at P.

8. Join AC and BD which intersect at O. 

9. Join OP and measure it. OP = 3 cm.