Question

If AB = 5.8 cm and CD= 3.4 cm, construct a line segment whose length is equal to the difference of the lengths of line segments AB and CD.​

Answer 1

Answer:

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.

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Answer 2

Using compass and ruler, we construct two segments AB and CD of lengths 5.8 cm and 3.4 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.

QR is the required segment, whose length is equal to the difference lengths of these segments.