+3 votes

1 Answer

+1 vote
by kratos
 
Best answer

(i) Given AB whose length is not known.

(ii) Fix the compasses pointer on A and the pencil end on B. The opening of the instrument now gives the length of AB.

(iii) Draw any line l. Choose a point P on l. Without changing the compasses setting, place the pointer on Q.

(iv) Draw an arc that cuts l at a point R.

(v) Now place the pointer on R and without changing the compasses setting, draw another arc that cuts l at a point Q.

Hence, PQ is the required line segment whose length is twice that of AB.

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