# Find the length o

Given: Length of one of the diagonals = 24 cm

Length of the other diagonal = 10 cm

To find: Length of the side of the rhombus

The length of all sides of rhombus is equal.

Let side of rhombus ABCD be x cm.

Also, we know that the diagonals of a rhombus are perpendicular bisectors of each other.

AO = OC = 12 cm and BO = OD = 5 cm

Also, AOB = BOC = COD = AOD = 90°

Now, consider ∆ AOD

AO = 12 cm and OD = 5 cm

AOD = 90°

So, using Pythagoras theorem, we have

AD2 = AO2 + OD2 = 122 + 52 = 144 + 25 = 169

AD = √169 = 13 cm

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