Answer: 90cm, 180cm, 240cm
Step-by-step explanation:
The extented ratio are 3 : 6 : 8.
Let the sides be denoted as 3x, 6x and 8x.
Perimeter = 510cm
3x + 6x + 8x = 510
17x = 510
Divide by 17 to get the value of x
x = 510/17
x = 30
The sides can be found as follows:
3x = 3 × 30 = 90
6x = 6 × 30 = 180
8x = 8 × 30 = 240
The lengths are 90cm, 180cm and 240cm.