Question

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

Answer 1

Seg ST of length 10 cm can be divided in the ratio 2:3 in the following way.
Steps of construction:
1. Draw a line segment ST of length 10 cm.
2. Divide the segment into (2 + 3 = 5) congruent parts.
3. Name the points of division of the line segment A,B,C and D.
4. As the segment ST has been divided into five congruent parts, the length of segments SA, AB, BC, CD and DT are equal. We also observe that the ratio of SB : BT is 2:3.

So, B is the point on ST that divides the line segment ST in the ratio 2:3.