Construct a rhombus whose diagonals are 10cm and 8cm.

Explanation

In order to construct the given rhombus ,
we follow the following steps:
step of construction
step 1:draw `AC=10cm`.
step 2:draw `XY`, the right bisector of `AC` meeting it at `O`.
step 3:with `O` as centre and radius equal to half of the length of the other diogonal,i.e,`4cm`,cut off `OB=OD=4cm`.
step 4:join `AB,AD` and `CB,CD`
hence `ABCD` is required rhombus.