A triangle has side lengths of (8d – 3) centimeters, (6d + 2) centimeters, and
(7f + 8) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?

Respuesta :

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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