Let \( \Large \angle A = 2x \) \( \Large \angle B = 4x \) and \( \Large \angle C = 3x\) We know, \( \Large \angle A \) + \( \Large \angle B \) + \( \Large \angle C \)= \( \Large 180 ^{\circ} \) \( \Large \therefore 2x + 4x + 3x = \Large 180 ^{\circ} \) => \( \Large 9x = \Large 180 ^{\circ} \) => \( \Large x = \Large 20 ^{\circ} \) Now, \( \Large \angle A = 40 ^{\circ} \) \( \Large \angle B = 80 ^{\circ} \) and \( \Large \angle C = 60 ^{\circ} \) Hence, the shortest side of triangle = side opposite to the smallest angle = BC and the longest side of triangle = side opposite to the longest angle = AC.