A) 24 cm
B) 10 cm
C) \[2\frac{1}{6}cm\]
D) 12cm
Correct Answer: B
Solution :
Given perimeter of a rhombus is 52 cm, each side of the rhombus \[=\frac{52}{4}=13\,cm.\]Area of rhombus \[=2\sqrt{25(25-24)(25-13)(25-13)}\] \[=120\,\,\text{sq}\text{.cm}\text{.}\] Areal \[=\frac{1}{2}\times \text{prdouct of diagonals}\] \[\Rightarrow \]\[120=\frac{1}{2}\times 24\times d\Rightarrow d=10\,cm\] \[\therefore \]The other diagonal to 10 cm.
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