Question

Please solve this problem

Answer 1

AB = AC + BC

( AC = BC )

AB = AC + AC

AB = 2 AC

1 / 2 AB = AC

hence , proved..

Figure is in the attachment ..

part 2 of question..
Suppose C and C' are two mid points of segment AB.

Then AC = AB.

and AC' = AB.

AC = AC' [Things which are equal to the same thing are equal to one another.]

This is possible only when C and C' coincide.

Hence every line segment has one and only one midpoint.