Question

the length of the diagonal AC and BD of rhombus ABCD are 16 centimetre and 12 centimetre respectively find the length of a side of rhombus

Answer 1

10 centimeters is length of a side of rhombus

Answer 2

Let O be the intersecting point of the diagonals
Then, By pythagoras theorem,
In triangle AOB,
(AB)^2 = (AO)^2 + (OB)^2 = 8^2 + 6^2 = 100cm^2 = 10cm
Therefore side of rhombus is 10 cm in length.