Question

The perimeter of a triangle is 36 cm and its sides are in the ratio a : b : c = 3 : 4 : 5, then find the value of a,

b and c respectively.​

Answer 1

Answer:

a = 9 cm

b = 12 cm

c = 15 cm

Step-by-step explanation:

Given :

• The perimeter of a triangle is 36 cm
• Its sides are in the ratio a : b : c = 3 : 4 : 5

To find :

the values of a, b and c

Solution :

The sides of the triangle, a : b : c are in the ratio 3 : 4 : 5

Let

• a = 3x
• b = 4x
• c = 5x

The perimeter of the triangle is equal to the sum of the lengths of the three sides.

a + b + c = 36 cm

3x + 4x + 5x = 36

 12x = 36

   x = 36/12

   x = 3

Substitute x = 3,

a = 3x = 3(3) = 9 cm

b = 4x = 4(3) = 12 cm

c = 5x = 5(3) = 15 cm

Therefore, the values of a, b and c are 9 cm, 12 cm and 15 cm respectively.

Answer 2

$\sf{Answer}$

Step-by-step-explanation:-

Given :-

• Perimeter of triangle = 36 cm
• Sides are in ratio a : b : c = 3: 4 : 5

To find :-

Values of a, b, c

Solution:-

• Let
• a = 3x
• b = 4x
• c = 5x

We know perimeter = Sum of their sides

So,

36 = 3x + 4x + 5x

36 = 12x

x = 3

Finding sides :-

a = 3x

a = 3 (3)

a = 9 cm

b = 4x

b = 4(3)

b = 12 cm

c = 5x

c = 5(3)

c = 15

So, values of a, b, c = 9, 12 , 15 cm respectively

verification:-

We got sides Hence sum of sides should be equal to perimeter = 36cm

a + b + c = 36cm

9 cm + 12 cm + 15 cm= 36cm

21cm + 15 cm = 36 cm

36 cm = 36cm

Hence verified