Question

Point H is on line segment GI. Given GI = 3x, HI = 2, and

GH = 5x - 6, determine the numerical length of GH

Answer 1

GH = 4

Explanation:

given H is on the line GI , then

GH + HI = GI , that is

5x - 6 + 2 = 3x ( subtract 3x from both sides )

2x - 4 = 0 ( add 4 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Then

GH = 5x - 6 = 5(2) - 6 = 10 - 6 = 4