Steps of Construction:
Step 1: Draw a line segment AB = 6.5cm.
Step 2: Draw a ray AX, making an acute angle ∠BAX.
Step 3: Jong AX, mark (4 + 7) = 11 points A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11 such that
Step 4: Join A11B.
Step 5: From A4, draw A4C || A11B, meeting AB at C.
Thus, C is the point on AB, which divides it in the ratio 4 : 7.
Thus, AC CB : 4 : 7
From the figure,
AC = 2.36cm
CB = 4.14cm