Determine a point which divides a line segment of length 12 cm internally in the ratio 2 : 3. Also, justify your construction.
Draw a line segment AB = 12 cm.
Draw a ray AX which makes an acute angle with AB.
Locate 5 points (2+ 3) A1, A2, A3, …….A5 on AX so that;
AA1 = A1A2 = A2A3 = A3A4 = A4A5
Join A5 to B.
Through the point A2, draw a line A2C || A5B;
which intersects AB at point C.
We get; AC : CB = 2:3
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