Question

Construct a rhombus whose diagonals are 4 cm and 6 cm in length. Measure each side of the rhombus.

Answer 1

STEPS OF CONSTRUCTION
(i) Draw a line segment `AC=4` cm. ltbgt (ii) Draw the perpendicular bisector XOY of AC, cutting AC at O.
(iii) Along OX and OY, set off `OB=3` cm and `OD=3` cm respectively.
(iv) Join AB, BC, CD and AD.
Then, ABCD is the required rhombus.