Question

27. The length of the sides of triangle are in the ratio 3:4:5 and its perimeter is 144 cm. Find
the length of each side of the triangle.​

Answer 1

Answer:

Let the sides of a triangle are 3x, 4x and 5x.

Now, a = 3x, b = 4x and c = 5x  

The perimeter is 144  

⇒ 3x + 4x + 5x = 144  

⇒ 12x = 144  

⇒ x = 12  

∴ sides of triangle are

a = 3(x) = 36cm  

b = 4(x) = 48 cm

c = 5(x) = 60 cm

Answer 2

Step-by-step explanation:

Consider,

The sides of triangle= 3x, 4x, 5x

Perimeter of triangle = a+b+c

144= 3x + 4x + 5x

3x + 4x + 5x= 12x

12x=144

x= 144/12

x= 12

Answer=

3(x) = 3×12= 36 cm

4(x)= 4×12= 48 cm

5(x) = 5×12= 60 cm

Therefore, The sides of the triangle are 36 cm,48 cm,60 cm.