SOLUTION: Please help me solve this equation: Triangle ABC is isosceles with AC = BC. If AC = 3x + 8, BC = 5x - 4, and AB = 2x + 4, find the perimeter of the triangle. I have tried so

Algebra ->  Triangles -> SOLUTION: Please help me solve this equation: Triangle ABC is isosceles with AC = BC. If AC = 3x + 8, BC = 5x - 4, and AB = 2x + 4, find the perimeter of the triangle. I have tried so      Log On


   



Question 631368: Please help me solve this equation:
Triangle ABC is isosceles with AC = BC. If AC = 3x + 8, BC = 5x - 4, and AB = 2x + 4, find the perimeter of the triangle.
I have tried solving this by myself already by solving for x and then substituting it, but the answers I get are not equal. It says that AC and BC are supposed to be congruent, but my answers are very far from each other. However, I think I got the formula for this correctly. Since it isn't a regular polygon, the formula for the perimeter is the two sides + the base, right? Please correct me if I'm wrong.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
set the two sides equal
3x+8=5x-4
12=2x
6=x
check
30-4=26
ok
18+6=24
ok
The perimeter is the sum of the three sides.
p=3x+8+5x-4+2x+4
p=24+24+16
p=64