SOLUTION: The lengths of the three sides of a triangle are represented by 4x - 5, 3x, and 2x+7. If the perimeter of the triangle is 65, the triangle is. Show your work.

Algebra ->  Triangles -> SOLUTION: The lengths of the three sides of a triangle are represented by 4x - 5, 3x, and 2x+7. If the perimeter of the triangle is 65, the triangle is. Show your work.      Log On


   



Question 1032666: The lengths of the three sides of a triangle are represented by 4x - 5, 3x, and 2x+7. If the perimeter of the triangle is 65, the triangle is. Show your work.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Perimeter = length of three sides.
65 = (4x - 5)+(3x)+(2x + 7)
65 = 4x - 5 + 3x + 2x + 7
Collect like terms:
65 + 5 - 7 = (4x + 3x + 2x
63 = 9x
x = 7.
4x - 5 = 23
3x = 21
2x + 7 = 21
Hope this helps :-)