if B is the midpoint of AC=1/2AC

To determine the solution, we need to find the relationship between the lengths AB, BC, and AC in the given scenario.

Let's assume that A and C are two points on a line, with B as the midpoint of the line segment AC.

If B is the midpoint of AC, it means that the length of AB is equal to the length of BC.

Let's denote the length of AB as x. Since B is the midpoint, the length of BC would also be x.

Given that AC is equal to 1/2AC, we can write it as:

AC = 1/2 * AC

Simplifying this equation, we can multiply both sides by 2 to eliminate the fractional term:

2 * AC = AC

Now, if we substitute the lengths of AB and BC into the equation, we get:

AC = AB + BC

Since AB and BC are both equal to x, we can substitute them with x in the equation:

AC = x + x
AC = 2x

So, we have AC = 2x, which implies that 2x = AC.

In conclusion, if B is the midpoint of AC, then the length of AC is twice the length of AB or BC.