Chapter 10.8, Problem 6WE

To determine

To construct: $\overline{AB}$ and to construct the locus of all points $C$ so that in $\Delta ABC$ the median from $C$ has length $s$ .

Explanation of Solution

Given Information:

Use figure,

  

Calculation:

Consider $AB=t$

Draw $AB=t$

Construct a perpendicular bisector of line $\overline{AB}$ . $X$ is the midpoint.

Cut arcs of length $s$ from $X$ on the perpendicular line on both sides of $\overline{AB}$ .

  $C$ is locus of all points so that in $\Delta ABC$ the median from $C$ has length $s$ .