Question

Construct two segments of lengths 4.3 cm and 3.2 cm. Construct a segment whose length is equal to the sum of the lengths of these segments.

Answer 1

Using compass and ruler, we construct two segments AB and CD of lengths 4.3 cm and 3.2 cm, respectively.
Draw a line l and mark a point P on it.
Take a compass and place its metal point at A and adjust it, such that the pencil point reaches point B.
Take the compass to line l, such that its metal point is on P.
Mark a small mark at Q on the line l corresponding to the pencil point of the compass​.
Now, reset the compass, such that its metal and pencil points are on C and D, respectively.
Take the compass again to line l, such that its metal point is on Q and the pencil point makes a small mark at point R, which opposite to point P on line l.
PR is the required segment, whose length is equal to the sum of the lengths of these segments.