Question

Construct a line segment AB =3.5cm and CD =4.2cm.Construct a line segment XY such that XY =AB+CD with digram

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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.

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Solution

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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.