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
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