The sides of a triangle area in the ratio of \( \Large \frac{1}{3}:\frac{1}{4}:\frac{1}{5} \) and its perimeter is 94 Cm.Find the length of the smallest side of the triangle.

A) 18 cm

B) 22.5 cm

C) 24 m

D) 27 cm

Correct Answer:
C) 24 m

Description for Correct answer:

Given ratio = \( \Large \frac{1}{3}:\frac{1}{4}:\frac{1}{5} \)

Let lengths of the sides be 20x,15x and 12x.

Then, according to the question,

20x + 15x + 12x = 94 =>47x = 94

x = \( \Large \frac{94}{47} \)=2

Smallest side =12x = \( \Large 12\times 2 \) = 24 cm




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