(a)[1]
Construct the locus of points, inside triangle $ABC$, that are the same distance from $A$ and $B$.
(b)[1]
Construct the locus of points, inside triangle $ABC$, that are the same distance from $AB$ and $BC$.
(c)[1]
On the diagram, shade the region inside triangle $ABC$ that contains the points which are nearer to $A$ than to $B$ and nearer to $BC$ than $AB$.