Question : The area and the length of one of the diagonals of a rhombus are 84 cm2 and 7 cm respectively. Find the length of its other diagonal (in cm).
Option 1: 12
Option 2: 24
Option 3: 48
Option 4: 36
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Correct Answer: 24
Solution :
Given: Area = $84\ cm^2$
1st diagonal = 7 cm
2nd diagonal = $D_2$
We know that
Area of rhombus = $\frac{1}{2}\times$(Product of the diagonals)
⇒ $84 = \frac{1}{2}\times7\times D_2$
⇒ $D_2 = 24\ cm$
Hence, the correct answer is 24.
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