SOLUTION: Given AC=AB+AB prove AB=BC A----B----C please help!

Algebra ->  Geometry-proofs -> SOLUTION: Given AC=AB+AB prove AB=BC A----B----C please help!      Log On


   

Question 906152: Given AC=AB+AB prove AB=BC A----B----C please help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
AC=AB+AB

AC=2*AB

Which implies that 2 copies of AB are needed to construct AC. Since AB + BC = AC, this must mean that BC = AB or AB = BC

----------------------------------------------------------------------

Think about it in reverse: say we know that AB = BC and AB + BC = AC

we can replace BC with AB to get

AB + BC = AC

AB + AB = AC

AC = AB + AB

which is what we start with