Let’s draw a rhombus ROAD where RA = 8 cm and OD = 6 cm

Given that,

RA = 8 cm and OD = 6 cm

To do: Draw a rhombus ROAD.

Materials required: ruler, compass, pencil and a sheet of paper.

Steps:

Note that, a rhombus is a simple quadrilateral whose four sides all have the same length.

1. Draw a line RA = 8 cm using a ruler on a sheet of paper.

2. Draw perpendicular bisector XY of AC. For this, keep one end of the compass at R and draw an arc or circle of radius, say, 4.5 cm above as well as below the line RA.

3. Similarly, taking A as centre draw an arc or circle above and below the line RA intersecting the previous arc at X and Y.

4. Join XY cutting the line RA at O’. XY is the perpendicular bisector of the line RA.

5. From O’, extend the line to O’D on line O’X, where O’D = 3 cm (half of 6 cm) using a ruler.

6. Similarly, from O’ extend the line to O’O on line O’Y, where O’O = 3 cm (half of 6 cm).

7. Join RO, OA, AD and DR.

Here, O’D = 3 cm and O’O = 3 cm.

And, OD = O’D + O’O

⇒ OD = 3 + 3

⇒ OD = 6 cm

Thus, we have formed a rhombus, where RA = 8 cm and OD = 6 cm.