SOLUTION: Triangle ABC is isosceles. AB = x and BC = 2x-4 a) find two possible values for x if the perimeter of triangle ABC is 32 b)how many possible values are there for x if the perim

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Triangle ABC is isosceles. AB = x and BC = 2x-4 a) find two possible values for x if the perimeter of triangle ABC is 32 b)how many possible values are there for x if the perim      Log On


   

Question 350105: Triangle ABC is isosceles. AB = x and BC = 2x-4
a) find two possible values for x if the perimeter of triangle ABC is 32
b)how many possible values are there for x if the perimeter of triangle ABC is 12
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) Either
x%2Bx%2B2x-4=32 or 2x-4%2B2x-4%2Bx=32
4x-4=32 or 5x-8=32
4x=36 or 5x=40
x=9 or x=8
.
.
.
b) Same equations apply, just different right hand side.
4x-4=12 or 5x-8=12
4x=16 or 5x=20
x=4 or x=4
Only 1, x=4.