Question

The sides of a triangle are in the ratio 1/3:1/4:1/5 and its perimeter is 94cm.the length of the smallest side is.

Answer 1

Answer:

Length of smallest side = 12 x = 12 x 2 = 24 cm.

Step-by-step explanation:

Ratio of sides are = 1/3 : 1/4 : 1/5 = 1/3 x 60 : 1/4 x 60 ; 1/5 x 60 = 20 : 15 : 12

A/Q, 20x + 15x+ 12x= 94

47 x = 94

x = 2.

Answer 2

Answer:

Given:

The sides of a triangle are in the ratio (1/3):(1/4):(1/5)

The perimeter of the triangle is 94 cm

To find:

The length of the smallest side of the triangle

Now,

Let the side of the triangle be

(1/3)x = (x/3) cm

(1/4)x = (x/4) cm

(1/5)x = (x/5) cm

The perimeter of the triangle = Sum of all sides of the triangle

$\implies \frac{x}{3}+ \frac{x}{4}+ \frac{x}{5} = 94$

$\implies \frac{20x+15x+12x}{60} = 94$

$\implies 20x+15x+12x = 94 \times\bf{ 60}$

[Taking 60 to RHS]

$\implies 47x= 5640$

$\implies x= \frac{5640}{47}$

∴ x = 120

So,

The sides of the triangle are

(1/3)x = (x/3) cm

= (120)/3 = 40 cm

(1/4)x = (x/4) cm

= (120)/4 = 30 cm

(1/5)x = (x/5) cm

= (120)/5 = 24 cm

Hence,

The smallest side is 24 cm