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The lengths of the sides of a triangle are in the extended ratio 8 ​: 9 ​: 10. The perimeter of the triangle is 81 cm. What are the lengths of the​ sides?

Respuesta :

The lengths of the sides are 24cm, 27cm and 30cm.

Step-by-step explanation:

The ratio of lengths is 8:9:10

Perimeter = 81 cm

Let x be the length of side.

Therefore,

The length of sides is 8x, 9x and 10x.

Perimeter is the sum of 3 sides, therefore,

[tex]8x+9x+10x=81\\27x=81[/tex]

Dividing both sides by 27;

[tex]\frac{27x}{27}=\frac{81}{27}\\x=3[/tex]

Therefore, the lengths of sides are [tex]8(3), 9(3)\ and\ 10(3)[/tex]

The lengths of the sides are 24cm, 27cm and 30cm.

Keywords: triangles, perimeter

Learn more about triangles at:

  • brainly.com/question/10427437
  • brainly.com/question/10470406

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