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Given 
of length 3.9 cm, construct 
such that the length of is twice that of. Verify by measurement.
(Hint: construct
such that length of= length of; then cut off
such thatalso has the length of.)
Asked by Rukhsar Last Modified
Answer A line segment can be drawn such that the length of is twice that of as follows.
(1) Draw a line l and mark a point P on it and let AB be the given line segment of 3.9 cm.
(2) By adjusting the compasses up to the length of AB, draw an arc to cut
the line at X, while taking the pointer of compasses at point P.
(3) Again put the pointer on point X and draw an arc to cut line l again at
Q.
is the required line segment. By ruler, the length of can be measured which comes to 7.8 cm.
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