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प्रश्न
Draw a line segment of length 6.5 cm and divide it into four equal parts, using ruler and compasses.
उत्तर
Steps of construction:
(i) Draw a line segment AB = 6.5 cm.
(ii) With A and B as centres and radius more than `1/2` (AB), draw arcs one on each side of AB, these arcs cuts each other at E and F.
(iii) Join EF, which cuts AB at Q.
(iv) With centres A and Q and radius more than `1/2` AQ, draw arcs one on each side of AB, these arcs cuts each other at G and H.
(v) Join GH, which cuts AB at P.
(vi) Similarly, with centres B and Q and radius more than `1/2` (BQ), draw arcs one on each side of AB, these arcs cuts each other at I and J.
(vii) Join IJ, which cuts AB at R.
(viii) Now, point P, Q and R divide the line segment AB in four equal parts.
Thus AP = PQ = QR = RB.
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