In a rhombus lmno, m = 60° and lm = 14 cm. find the diagonal

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Correct Answer:

Description for Correct answer:

\( \Large \angle ABC=60 ^{\circ} (given) \)\( \Large \angle DAB= \angle DCB=120 ^{\circ} \)\( \Large (as\ \angle ABC+ \angle DAB=180 ^{\circ} ) \)\( \Large \angle CAB=\frac{1}{2} \times \angle DAB=60 ^{\circ} \)\( \Large \angle ACB=\frac{1}{2} \times \angle DCB=60 ^{\circ} \)\( \Large In\triangle ABC \)all 3 angles are \(60 ^{\circ} \)means it is an equilateral \(\triangle \)

So, AC = AB = BC = 14

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