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Question -

Draw a line segment of length 8 cm and divide it internally in the ratio 4 : 5.



Answer -

Steps of construction :
(i) Draw a line segment AB = 8 cm.
(ii) Draw a ray AX making an acute angle with тИаBAX = 60┬░ withAB.
┬а(iii) Draw a ray BY parallel to AX by making an acute angle тИаABY = тИаBAX.
(iv) Mark four points A1, A2, A3, A4 on AX and five points B1, B2, B3, B4, Bs on BY in such a way that AA1 = A1A2 = A2A3 = A3A4 .
(v) Join A4B5.
(vi) Let this line intersect AB at a point P.
Thus, P is the point dividing the line segment AB internally in the ratio of 4 : 5.

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