Question

The lengths of the sides of a triangle are in the extended ratio 8:9:10. The perimeter of the triangle is 54 cm. What are the lengths of the sides?

The lengths of the sides of the triangle in cm are
(Use a comma to separate answers as needed. )

Answer 1

Ratio = 8:9:10

Let the sides be = 8n,9n,10n

Perimeter = sum of all the sides

= 8n+9n+10n=27n

Thus ,

= 27n=54 cm

= n = 54 cm/27

= n= 2 cm

Thus , sides =

= 8n = 8×2 cm = 16 cm

= 9n = 9×2 cm = 18 cm

= 10n = 10×2 cm = 20 cm