Part 1: Write an expression in simplest form for the perimeter of each triangle.
Part 2: Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.
Part 3: Find the perimeter of each triangle when x = 2.
Triangle A= Side 1- 3x+4, Side 2- 4x-3, Side 3- 8x +9
Triangle B= Side 1- x+7, Side 2- x+5, Side 3- 3x-4
Part 1:
Triangle A: Perimeter = (3x+4) + (4x-3) + (8x+9) = 15x + 10
Triangle B: Perimeter = (x+7) + (x+5) + (3x-4) = 5x + 8
Part 2:
Difference in perimeter = (15x + 10) - (5x + 8) = 10x + 2
Part 3:
When x = 2,
Perimeter of Triangle A = 15(2) + 10 = 40
Perimeter of Triangle B = 5(2) + 8 = 18