Answer:
90 cm, 180 cm, 240 cm
Step-by-step explanation:
Let the lengths of sides of the triangle be 3x, 6x and 8x
[tex] \therefore \: 3x + 6x + 8x = 5.1 \: m \\ \therefore \: 17x = 510 \: cm \\ \therefore \: x = \frac{510}{17} \\ \therefore \:x = 30 \: cm \\ \implies \\ 3x = 3 \times 30 = 90 \: cm \\ 6x = 6 \times 30 = 180 \: cm \\ 8x = 8 \times 30 = 240 \: cm[/tex]
Hence, lengths of the sides of the triangle are 90 cm, 180 cm and 240 cm.