The lengths of the diagonals of a rhombus are 24 cm and 10 cm. Find each side of the rhombus.

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asked Feb 13, 2018 in Mathematics by sforrest072 (157,439 points) 60 409 934

The lengths of the diagonals of a rhombus are 24 cm and 10 cm. Find each side of the rhombus.

1 Answer

+1 vote
answered Feb 13, 2018 by mdsamim (213,225 points) 5 10 15
selected Feb 13, 2018 by sforrest072
 
Best answer

We have,
ABCD is a rhombus with diagonals AC = 10 cm and BD = 24 cm
We know that diagonal of a rhombus bisect each other at 90°
∴ AO = OC = 5 cm and BO = OD = 12 cm
In ΔAOB, by Pythagoras theorem


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