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Tuesday, January 7, 2020

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 :

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 :
A9 cm
B10 cm
C11 cm
D12 cm

Correct answer is: 12 cm

Explanation:

Let the sides be 12x,13x,14x

Perimeter =a+b+c

52cm=12x+13x+14x
 
52cm=(6x+4x+3x)12

52=1312x

52×1213=x

4×12=x=48

Sides are 12×48=24cm;
13×48=18cm;
14×48=12cm

12 cm is the smallest side

rihad
answered Jan 8 '2020 at 10:44

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