SOLUTION: In triangle ABC if segment BC is one inch LONGER than segment AB, segment AC is 10 inches shorter than the sum of segment BC and segment AB, and the perimeter of triangle ABC is 72

Algebra ->  Triangles -> SOLUTION: In triangle ABC if segment BC is one inch LONGER than segment AB, segment AC is 10 inches shorter than the sum of segment BC and segment AB, and the perimeter of triangle ABC is 72      Log On


   

Question 307968: In triangle ABC if segment BC is one inch LONGER than segment AB, segment AC is 10 inches shorter than the sum of segment BC and segment AB, and the perimeter of triangle ABC is 72 inches, find the length of segment BC.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
AB + BC + AC = 72

(BC - 1) + BC + (2BC - 1 - 10) = 72

4BC - 12 = 72 ___ BC = 21