Question

Point G is on line segment FH. Given FH = 4x, GH = x, and FG = 2x + 10,

determine the numerical length of FG.

Answer 1

FG=11

Explanation:

Answer 2

30 units

Explanation:

If point G is on line segment FH, then point G lies between points F and H.

Segment Addition Postulate states that given 2 points F and H, a third point G lies on the line segment FH if and only if the distances between the points satisfy the equation FG + GH = FH.

By segment addition postulate,

`FG+GH=FH`

Given

FH = 4x,

GH = x,

FG = 2x + 10,

then

`4x=x+2x+10\\ \\4x=3x+10\\ \\4x-3x=10\\ \\x=10\\ \\FG=2x+10=2\cdot 10+10=30\ units`