Question

Draw a line segment of length 7 cm and divide it internally in the ratio 2 : 3.

Answer 1

Given that

Determine a point which divides a line segment of length 7 cm internally in the ratio of 2 : 3.

We follow the following steps of construction

Step of construction

Step: I- First of all we draw a line segment AB = 7 cm

Step: II- We draw a ray AX making an acute angle `angleBAX = 60^@` with AB.

Step: III- Draw a ray BY parallel to AX by making an acute angle `angleABY = angleBAX`

Step IV - Mark of two points `A_1, A_2` on AX and three points `B_1, B_2,B_3`on BY in such a way that `"AA"_1 = A_1A_2 = BB_1 = B_1B_2 = B_2B_3`

Step V - Join `A_2B_3` and this line intersects AB at a point P

Thus P is the point dividing AB internally in the ration of 2:3