By geometrical construction, it is possible to divide a line segment in the ratio √3:(1/√3)

Question

Write True or False and give reasons for your answer.

By geometrical construction, it is possible to divide a line segment in the ratio √3:(1/√3).

Answer 1

True

Justification:

According to the question,

Ratio= √3 : ( 1/√3)

On simplifying we get,

√3/ (1/√3) = (√3 x √3)/1 = 3:1

Required ratio = 3:1

Hence,

Geometrical construction is possible to divide a line segment in the ratio 3:1.