Question

the side of a triangle are in the ratio 2:3:4 if the perimeter of the triangle is 120 cm find the side . what know of the triangle is?​

Answer 1

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★ The sides of a triangle are in the ratio 2:3:4 . If the perimeter of the triangle is 120 cm , find the sides of the triangle .

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★ Given :

• The ratio of sides = 2:3:4
• Perimeter = 120 cm

★ To Find :

• The sides of the triangle .

★ Solution :

Let the ratios be 2x , 3x and 4x

That is ,

• 1st side = 2x
• 2nd side = 3x
• 3rd side = 4x

As we know ,

$\star \boxed{ \sf \: perimeter_{triangle} = 120 \: cm}$

Here ,

$\rm \mapsto \: 1st \: side + 2nd \: side + 3rd \: side = 120cm$

$\mapsto \rm \: 2x + 3x + 4x = 120 \: cm$

$\mapsto \rm \: \cancel{9}x = \cancel{120} \: cm$

$\mapsto \rm \: 3x = 40 \: cm$

$\mapsto \boxed{\rm x = \dfrac{40}{3} \: cm}$

So , Sides are :

• $\sf \: 1st \: side \: = 2x = 2 \times \dfrac{40}{3} = \boxed{ \sf\dfrac{80}{3} \: cm}$
• $\sf \: 2nd \: side = 3x = 3 \times \dfrac{40}{3} = \boxed{ \dfrac{120}{3} \sf\: cm}$
• $\sf \: 3rd \: side = 4x =4 \times \frac{40}{3} = \boxed{ \sf \frac{160}{3} \: cm}$

Since all the sides are different in length ,

So,

It's a Scalene Triangle .

Answer 2

Answer:

1st-24cm

2nd-48cm

3rd-48cm