Chapter 3, Problem 38CUR

To determine

The length of $AB,$ if $M$ is the midpoint of $\overline{AB}$ and $AM=12$

Answer to Problem 38CUR

The length of $AB=24$

Explanation of Solution

Given information:

  $M$ is the midpoint of $\overline{AB}$ and $AM=12,$ then $AB=$

The mid-point of any line divides it into two equal parts.

If $M$ is the mid-point of $\overline{AB}$ , then the point $M$ divides the line $\overline{AB}$ into two equal parts,

In other word, the above can be written as:

  $\begin{array}{cc}\overline{AB}& =2\overline{AM}\\ & =2\times 12\\ & =24\end{array}$

Hence the length of $AB$ is 24.