The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus is

Let ABCD be a rhombus with diagonals AC and BD.


AC and BD bisect at O.


So, AO = = 8 cm


And BO = = 6 cm


In right angled triangle AOB,


AB2 = AO2 + OB2 (According to Pythagoras theorem)


AB2 = 82 + 62


AB2 = 64 + 36


AB =


= 10 cm.


So, Length of Rhombus of each side is 10 cm.

2