Question 659040

given:

Suppose {{{B}}} is the midpoint of {{{AC}}}. 

{{{AB = 5x}}} and {{{BC = 3x + 4}}}. 

Find: {{{AB}}}

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if {{{B}}} is the midpoint of {{{AC}}}, then {{{AB=BC}}}

so, we have:

{{{AB = 5x}}} and {{{BC = 3x + 4}}}

then,

{{{5x=3x + 4}}}....solve for {{{x}}}

{{{5x-3x =4}}}

{{{2x =4}}}

{{{highlight(x =2)}}}

now, find {{{AB}}}

{{{AB = 5x}}}

{{{AB = 5*2}}}

{{{highlight(AB = 10)}}}