1. Perimeter of purple triangle = (3x+4) + (4x-3) + (8x+9) = 15x + 10
Perimeter of blue triangle = (x+7) + (x+5) + (3x-4) = 5x + 8
2. Difference in perimeter = (15x + 10) - (5x + 8) = 10x + 2
3. If x+2, then:
Perimeter of purple triangle = 15(x+2) + 10 = 15x + 30 + 10 = 15x + 40
Perimeter of blue triangle = 5(x+2) + 8 = 5x + 10 + 8 = 5x + 18
Look at the given triangles.
Two triangles are shown
The purple triangle is a right triangle. The vertical leg is labeled with the expression 3 x+4. The horizontal leg is labeled with the expression 4x-3. The hypotenuse is labeled with the expression 8x+9.
The blue triangle is a right triangle. The vertical leg is labeled with the expression x+7. The horizontal leg is labeled with the expression x+5 The hypotenuse is labeled with the expression 3x-4.
1. Write an expression in simplest form for the perimeter of each triangle.
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
3. find the perimeter of each triangle when x+2
1 answer