SOLUTION: Triangle ABC is an isosceles triangle with vertex angle B, AB = 5x - 28, AC = x + 5, and BC = 2x + 11. Find the length of the base.

Algebra ->  Triangles -> SOLUTION: Triangle ABC is an isosceles triangle with vertex angle B, AB = 5x - 28, AC = x + 5, and BC = 2x + 11. Find the length of the base.      Log On


   



Question 81971: Triangle ABC is an isosceles triangle with vertex angle B, AB = 5x - 28, AC = x + 5, and BC = 2x + 11. Find the length of the base.
Answer by psychopsibilin(3) About Me  (Show Source):
You can put this solution on YOUR website!
Since vertex angle is B, we can safely say that AB=BC in this isosceles triangle.
hence 5x-28 = 2x+11
0r 3x = 39, hence x = 13
Now AC = x+5 = 18
Hence length of base = 18 units