Question

Draw the following: A rhombus whose diagonals are $5.2$ cm and $6.4$ cm long.

Answer 1

Rough Sketch of rhombus ABCD

We can draw the rhombus ABCD using the steps given below

Step 1. Draw a line segment AC of $5.2$cm and draw its perpendicular bisector. Let it intersect the line segment AC at point O.

Step 2. Draw arcs of $\raisebox{1ex}{$6.4$}\!\left/ \!\raisebox{-1ex}{$2$}\right.=3.2$ on both sides of this perpendicular bisector. Let the arcs intersect the perpendicular bisector at points B and D.

Step 3. Join points B and D with points A and C.

Hence, ABCD is the required rhombus.