In a rhombus ABCD, \( \angle A = 60 ^{\circ} \) and AB =12 cm. Then the diagonal BD is :


A) 12 cm

B) 10 cm

C) \( 2\sqrt{3} cm \)

D) 6 cm

Correct Answer:
A) 12 cm

Description for Correct answer:

ABCD is rhombus





To find the length of BD

since it ls a rhbmbus

AB = AD

To find the length of BD

since it is a rhombus

AB = AD

\(  \Large \angle ABD = \angle ADB = \frac{180 ^{\circ} - 60 ^{\circ} }{2} = 60 ^{\circ} \)

= ABD is an equilateral triangle

= BD = 12 cm ; AD - 12 cm

 


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