# The perimeter of a triangle is 40 cm if the ratio of the lengths of the sides is 2:3:5,find the length of each side? i know the an

The perimeter of a triangle is 40 cm if the ratio of the lengths of the sides is 2:3:5,find the length of each side? i know the answer is 8cm,12cm, and 20cm show me the working. please

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perimeter =40

2x+3x+5x =40

10x=40

x=40/10

x=4 cm

2x=8

3x=12

5x=20

The length of each sides of a triangle are 8cm, 12 cm , and 20 cm.

Step-by-step explanation:

Let the sides of the triangle be 2x,3x and 5x respectively.

the perimeter of the triangle is 40cm

=> 2x+3x+5x = 40

=> 10x = 40

=> x = 40/10

=> x = 4

Now,Putting value of x in each

1st angle = 2x

=> 2×4

=> 8 cm

2nd angle = 3x

=> 3×4

=> 12 cm

3rd angle = 5x

=> 5×4

=> 20 cm

Hence, the length of each sides of a triangle are 8cm, 12 cm , and 20 cm.