Question

10. The lengths of the diagonals of a rhombus are 16 cm and 12 cm respectively
Find the length of each of its sides.
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Answer 1

Step-by-step explanation:

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.