SOLUTION: <-G----H-------I-----------J-> In the figure above, GH/HI=1/3 and HI/IJ=1/2. If the length of GI is 24, then the length of GJ is a.44 b.48 c.56 d.60 e.72

Question 907696: <-G----H-------I-----------J->
In the figure above, GH/HI=1/3 and HI/IJ=1/2. If the length of GI is 24, then the length of GJ is
a.44
b.48
c.56
d.60
e.72
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Steps done here on paper are not very neat, but I found ; and knowing the given , simply using segment addition postulate gives .

Note that in my separate work not shown, the ratio relationships given can easily be converted into simple linear equations.
, .

Also,

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