SOLUTION: Points G, H, and I are collinear with H between G and I. If GH = r + 1 and HI = 2r - 15, what is the length of GH if GI = 67 units.

Algebra ->  Angles -> SOLUTION: Points G, H, and I are collinear with H between G and I. If GH = r + 1 and HI = 2r - 15, what is the length of GH if GI = 67 units.      Log On


   



Question 1174858: Points G, H, and I are collinear with H between G and I. If GH = r + 1 and HI = 2r - 15, what is the length of GH if GI = 67 units.
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The distance GI = GH + HI:
67 = (r+1) + (2r-15) -> 3r - 14 = 67 -> 3r = 81 -> r = 27
Thus, GH = 27 + 1 = 28