The area of a rhombus is \( \Large 120 cm^{2} \). If one of its diagonals is of length 10 cm, then length of one of its sides is

A) 12 cm

B) 13 cm

C) 24 cm

D) \( \Large 22\sqrt{3} \) cm

Correct answer:
B) 13 cm

Description for Correct answer:

Area of a rhombus = \( \Large \frac{1}{2} \times \ products\ of\ its\ diagonals \)

Therefore, \( \Large 120 = \frac{1}{2} \times 10 \times \ second\ diagonal \)

=> second diagonal = 24 cm D



From the figure,

\( \Large AB = \sqrt{12^{2}+5^{2}} \)

= \( \Large \sqrt{169} = 13\ cm \)

 



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