Answer:
BC = [tex]\begin{vmatrix}- 49\end{vmatrix}[/tex] = 49 unit
Step-by-step explanation:
The given as AC is a line with B as its mid point
AND ,
AC = 8x + 15
AB = 3x + 4
BC = 4x - 1
∵ AC = AB + BC
Or, 8x + 15 = ( 3x + 4 ) + ( 4x - 1)
Or, 8x + 15 = 7x + 3
Or, 8x - 7x = 3 - 15
∴ x = - 12
SO, AC = 8x + 15 = 8 × ( - 12) + 15 = - 81
Or, AC = [tex]\begin{vmatrix}- 81\end{vmatrix}[/tex] = 81 unit
And ,AB = 3x + 4 = 3 × ( - 12) + 4 = - 32
Or ,AB = [tex]\begin{vmatrix}- 32\end{vmatrix}[/tex] = 32 unit
Similarly BC = 4x - 1 = 4 × ( - 12) - 1 = - 49
Or, BC = [tex]\begin{vmatrix}- 49\end{vmatrix}[/tex] = 49 unit Answer
