The length of the sides is 12cm, 14cm, and 16cm.
Given
The lengths of the sides of a triangle are in the extended ratio of 6 : 7 : 8. the perimeter of the triangle is 42 cm.
The perimeter is equal to the continuous line forming the boundary of a closed geometrical figure:
Let, the length of the sides of the triangle be 6x, 7x, 8x.
The sum of all lengths is equal to the perimeter of the triangle.
[tex]\rm 6x+7x+8x=42\\\\21x=42\\\\x=\dfrac{42}{21}\\\\x=2[/tex]
Therefore,
The length of the sides are;
6x = 6(2) = 12
7x = 7(2) = 14
8x = 8(2) = 16
Hence, the length of the sides is 12cm, 14cm, and 16cm.
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