Q4 of 12 Page 22

Divide seg ST of length 10 cm in the ratio 2: 3

In this we are asked to divide it in 2:3 ratio


So, 2+3 = 5


5, number congruent of line segment is formed.


i. Firstly, we have to draw a line segment ST of length 10 cm



ii. Draw a line with an acute angle from point s



iii. Point the compass on S, and cut the new line with some radius



iv. lace the compass along the line and make 5 arcs. Since we need 5 congruent parts, and name the last one as “E”



v. Take length of TE as radius draw an arc from S just below it.


Again, take the length of SE as radius and draw an arc which cuts the previous arc from T, name the intersection point as F. Connect F and T



vi. Taking the same length that we used in line SE, draw arcs along FT



vii. Connect the points along SE and FT and name the intercepts on line ST as K,L,M,N



viii. Thus we can divide a line segment as SL:LT = 4:6


= 2:3


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