Question

7. The sides of a triangle are in the ratio 3: 2: 4. If the perimeter of the triangle is
27 cm, find the length of each side​

Answer 1

To Find:-

• Find length of each side.

Solution:-

Given,

• Sides of triangle are in ratio od 3 : 2 : 4.
• The perimeter of triangle is 27cm.

We know that

Perimeter of triangle = Sum of all sides of traingle.

➭ 3x + 2x + 4x = 27

➭ 9x = 27

➭ x = 27/9

➭ $\boxed{\bf{\color{yellw}{ \: x \: = \: 3 \: }}}$

Now,

Substitute x in the value to get the length of the sides of traingle.

➭ 3x = 3( 3 ) ⇒ 9

➭ 2x = 2( 3 ) ⇒ 6

➭ 4x = 4( 3 ) ⇒ 12

Verification:-

➭ 3x + 2x + 4x = 27

➭ 9 + 6 + 12 = 27

➭ 27 = 27

Answer 2

ANSWER:

• Value of 3x = 9cm
• Value of 2x = 6cm
• Value of 4x = 12cm

SOLUTION:

TO FIND:

The length of each side of triangle

First Let sides 3 : 2 : 4 of the triangle be 3x , 2x , 4x

_______________

As given the perimeter of the triangle is 27 cm

Perimeter of triangle = sum of all sides or 3 × sides

3x + 2x + 4x = 27 cm

9x = 27 cm

x = $\frac{27}{7}$

x = 3 cm

So , the value of x = 3 xm

.°. The value of 3x = 3(3) = 9cm

the value of 2x = 2(3) = 6cm

and the value of 4x = 4(3) = 12cm

_______________

So , 1st side = 9cm

2nd side = 6cm

3rd side = 12cm

_______________

Let's check!

3x + 2x + 4x = 27cm

9 + 6 + 12 = 27

27 = 27

LHS = RHS

Hence, checked