Question : The diagonals of a rhombus are 12 cm and 16 cm, respectively. The length of one side is:
Option 1: 8 cm
Option 2: 6 cm
Option 3: 10 cm
Option 4: 12 cm
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Correct Answer: 10 cm
Solution : BD = 12 cm AC = 16 cm We know that the diagonals of rhombus bisect at $90^{\circ}$. So, OD = $\frac{1}{2}$BD = 6 cm AO = $\frac{1}{2}$AC = 8 cm In $\triangle$AOD, $\therefore$ Side, AD = $\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10\ \text{cm}$ Hence, the correct answer is 10 cm.
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