LOTS OF POINTS 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?

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LOTS OF POINTS
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?

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The lengths of the sides are 24cm, 27cm and 30cm.Step-by-step explanation:The ratio of lengths is 8:9:10Perimeter = 81 cmLet 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, perimeterLearn more about triangles at:brainly.com/question/10427437brainly.com/question/10470406#LearnwithBrainly

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