SOLUTION: In a triangle, the middle side is 7cm longer than the shortest side. The longest side is 8cm more than the shortest side. The perimeter is 31cm. What is the length of each side of

Algebra ->  Triangles -> SOLUTION: In a triangle, the middle side is 7cm longer than the shortest side. The longest side is 8cm more than the shortest side. The perimeter is 31cm. What is the length of each side of       Log On


   

Question 103785: In a triangle, the middle side is 7cm longer than the shortest side. The longest side is 8cm more than the shortest side. The perimeter is 31cm. What is the length of each side of the triangle? Must show work! thanks
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x=(shortest side), so x+7=(middle side) and x+8=(longest side)

perimeter=x+(x+7)+(x+8) ... 31=3x+15 ... 16=3x ... x=5 1/3

x+7=12 1/3 ... x+8=13 1/3