Please answer question 8

8 .   Draw   a   line   segment   AB   and   bisect   it .   Take   one   of   the   equal   parts   and   bisect   it   to   obtain   a   line   segment   of   length   1 4 AB .   Also   obtain   a   line   segment   of   length   3 4 AB .

Dear Student ,
Please find below the solution to the asked query :

Steps of construction:1 First draw a line segment AB of any measure.2 Now , open the compass more than half the measure of AB.3 Taking A as centre , draw two arc below and above line segment AB.4Taking B as centre , draw two arc below and above line segment AB.5 Join the intersections of two arcs , which cuts line segment at C.6  Now , open the compass more than half the measure of AC.7 Taking A as centre , draw two arc below and above line segment AC.8Taking C as centre , draw two arc below and above line segment AC.9 Join the intersections of two arcs , which cuts line segment at P.Thus , AP=14 AB and PB=34 AB .

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