Q. 24.5( 11 Votes )

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus is
A. 8 cm

B. 9 cm

C. 10 cm

D. 12 cm

Answer :

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.

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RELATED QUESTIONS :

Which of the following statements are true for a square?

(i) It is a rectangle.


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Which of the following statements are true for a rectangle?

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