The perimeter of a triangle is the sum of its side lengths.
The perimeter of the triangle is: [tex]14d + 7f +7[/tex]
The sides of the triangle are:
Side 1 = (8d - 3) cm
Side 2 = (6d + 2) cm
Side 3 = (7f + 8) cm
The perimeter (P) is calculated as:
P = Side 1 + Side 2 + Side 3
So, we have:
[tex]P = (8d - 3) + (6d + 2) + (7f + 8)[/tex]
Remove brackets
[tex]P = 8d - 3 + 6d + 2 + 7f + 8[/tex]
Collect like terms
[tex]P = 8d + 6d + 7f - 3 + 2 + 8[/tex]
[tex]P = 14d + 7f +7[/tex]
Hence, the perimeter of the triangle is: [tex]14d + 7f +7[/tex]
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