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

Answer

Using compass and ruler, we construct two segments AB and CD of lengths 4.3cm and 3.2cm, 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.

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