Question

the sides of a triangle are in the ratio 4:5:6 the perimeter of the triangle is 45 cm find the sides of the triangle​

Answer 1

Step-by-step explanation:

Given that ratio of three sides of the triangle = 4:5:6

let the sides of the triangle be 4x,5x and 6x respectively

perimeter= 45cm

so,

4x+ 5x+ 6x = 45

15x = 45

x = 45/15

= 3

x= 3

4x = 4×3

= 12cm

5x = 5×3

= 15cm

6x = 6×3 = 18cm

The three sides of the triangles are 12cm , 15cm and 18cm

Answer 2

Answer:

12 cm, 15 cm and 18 cm

Step-by-step explanation:

Perimeter = 45 cm

Let the common multiple of ratio be x.

1st side = 4x

2nd side = 5x

3rd side = 6x

Perimeter of triangle = sum of all sides

45 cm = 4x + 5x + 6x

45 cm = 15x

45/15 = x

3 = x

• 1st side = 4x = 4(3) = 12 cm
• 2nd side = 5x = 5(3) = 15 cm
• 3rd side = 6x = 6(3) = 18 cm