draw a line segement of length …
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Gaurav Seth 6 years, 9 months ago
Question 4 of textbook .Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement.
Answer: Steps of construction:
(i) Draw a line segment AB = 12.8 cm
(ii) Draw the perpendicular bisector of AB¯¯¯¯¯¯¯AB¯ which cuts it at C. Thus, C is the mid-point of AB¯¯¯¯¯¯¯.AB¯.
(iii) Draw the perpendicular bisector of AC¯¯¯¯¯¯¯AC¯ which cuts it at D. Thus D is the mid-point of .
(iv) Again, draw the perpendicular bisector of CB¯¯¯¯¯¯¯CB¯ which cuts it at E. Thus, E is the mid-point of CB¯¯¯¯¯¯¯CB¯.
(v) Now, point C, D and E divide the line segment AB¯¯¯¯¯¯¯AB¯ in the four equal parts.
(vi) By actual measurement, we find that
AD¯¯¯¯¯¯¯¯=DC¯¯¯¯¯¯¯=CE¯¯¯¯¯¯¯=EB¯¯¯¯¯¯¯=3.2AD¯=DC¯=CE¯=EB¯=3.2 cm
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