The sides of a triangle are in the ratio of 1/2, 1/3: 1/4 If its perimeter is 52 cm, the length of the smallest side is: [3864]

Q) The sides of a triangle are in the ratio of 1/2, 1/3: 1/4 If its perimeter is 52 cm, the length of the smallest side is:

Options:
A)9 cm
B) 10 cm
C) 11 cm
D) 12 cm

Answer

D) 12 cm | Explanation:let the sides of the triangle are x/2, x/3, x/4. So X/2+X/3+X/4 = 52 52=13 X/12 X = 52*12/13 = 48. Therefore first side of triangle= 48/2= 24, Second side = 48/3 = 16, Third side = 48/4=12. Therefore smallest side is 12cm.

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