If the diagonals of a rhombus are 12 cm and 16 cm, find the length of each side.
We know in rhombus diagonals bisect each other at right angle.
In ΔAOB
AO = 
, BO = 
Using pythagorous theorem in ΔAOB
AB2 = AO2 + BO2
AB2 = 62 + 82
AB2 = 36 + 64
AB2 = 100
AB = 
= 10cm
Therefore each side of a rhombus is 10cm.
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