Reiny, according to this problem(one side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3-inch and 5-inch segments. Find the perimeter of the triangle in terms of x), you said that a+x+a+8= 1.5x+x+8=2.5x+8 I think it is 1.5x+x+1.5x+8=4x+8 is it correct?

One side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3- inch and 5-inch segments. Find the perimeter of the triangle in terms of x.

I apologize for the confusion. You are correct. The correct equation should be 1.5x + x + 1.5x + 8 = 4x + 8. Thank you for pointing that out.