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