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.)

Question

Halle Carpenter

Mathematics

21 March, 19:58

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.)

+5

Answers (1)

Know the Answer?

Francesca Hebert · 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

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.)

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.)