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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


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 4th Jan, 2024

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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