Question

Point Q is the midpoint of GH¯¯¯¯¯¯ . GQ=2x+3, and GH=5x−5 .

What is the length of GQ¯¯¯¯¯ ?

Answer 1

Point Q is the midpoint of GH

so GQ = QH

Given GQ=2x+3, and GH=5x−5 .

2x + 3 = 5x − 5

3x = 8

x = 8/3

GQ = 2(8/3) +3

GQ = 16/3 + 3

GQ = 16/3 + 9/3

GQ = 25/3

GQ = 8 1/3