Divide a line segment of length 9 cm internally in the ratio 4: 3. Also, give the justification.

Asked by Topperlearning User | 27th Jul, 2017, 01:45: PM

Expert Answer:

 


Steps of construction.

i. Draw a line segment PQ = 9cm.

ii. Draw any ray making an acute angle QPX with PQ.

iii. Along PX, mark off 7 (4+3) points P1, P2, P3, P4, P5, P6, P7 such that PP1 = P1P2

      P2P3 =P3P4 = P4P5 = P5P6 = P6P7

iv. Join QP7.

v. Through P4 draw a line P4A parallel to P7Q by making an angle equal to PP7Q intersecting PQ at A.

vi. The point A so obtained is the required point, which divides PQ internally in the ratio 4: 3

Justification:

Answered by  | 27th Jul, 2017, 03:45: PM