Question

B is the midpoint of AC, If AB= x+5 and BC= 2x-11 , find the measure of AB

Answer 1

`\bf \boxed{A}\stackrel{x+5}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{2x-11}{\rule[0.35em]{10em}{0.25pt}}\boxed{C} \\\\\\ AB=BC\implies x+5=2x-11\implies 5=x-11\implies \blacktriangleright 16=x \blacktriangleleft \\\\\\ AB\implies x+5\implies 16+5\implies 21`

recall that a midpoint cuts two sections into equal twins.