By geometrical construction, it is possible to divide a line segment in the ratio √3: 1/√3. Write ‘True’ or ‘False’ and justify your answer

Solution:

From the question

Ratio = √3: 1/√3

On further simplification

√3/ (1/√3) = (√3 × √3)/1 = 3: 1

So the required ratio is 3: 1.

Therefore, the statement is true.

✦ Try This: By geometrical construction, it is possible to divide a line segment in the ratio √2: 1/√2.

From the question

Ratio = √2: 1/√2

On further simplification

√2/ (1/√2) = (√2 × √2)/1 = 2:1

So the required ratio is 2:1

Therefore, the statement is true.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 11

NCERT Exemplar Class 10 Maths Exercise 10.2 Problem 1

By geometrical construction, it is possible to divide a line segment in the ratio √3: 1/√3. Write ‘True’ or ‘False’ and justify your answer

Summary:

The statement “By geometrical construction, it is possible to divide a line segment in the ratio √3: 1/√3” is true

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