A triangle has sides 3x + 7, 4x – 9, and 5x + 6. Find the equation that represents its perimeter
I believe you put each equation which represents a side in parenthesis:
(3x + 7) + (4x – 9) + (5x + 6)
Yes, you are correct. To find the equation that represents the perimeter of the triangle, you need to sum up the lengths of all three sides.
So, the equation would be:
Perimeter = (3x + 7) + (4x - 9) + (5x + 6)
To simplify the equation, you can combine like terms by adding the coefficients of the corresponding x terms and the constants:
Perimeter = 3x + 7 + 4x - 9 + 5x + 6
Next, you can simplify further by collecting like terms:
Perimeter = (3x + 4x + 5x) + (7 - 9 + 6)
Combining the x terms gives:
Perimeter = 12x + (7 - 9 + 6)
Simplifying the constants:
Perimeter = 12x + 4
Therefore, the equation that represents the perimeter of the triangle is: Perimeter = 12x + 4.