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in Mathematics by (33.0k points)

Find the length of each side of a rhombus whose diagonals are 24cm and 10cm long

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Let ABCD be the rhombus with diagonals AC and BD intersecting each other at O. 

We know that the diagonals of a rhombus bisect each other at right angles. 

∴ If AC = 24 cm and BD = 10 cm, AO = 12 cm and BO = 5 cm 

Applying Pythagoras theorem in right-angled triangle AOB, we get:

Hence, the length of each side of the given rhombus is 13 cm.

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