By geometrical construction,

Question:

By geometrical construction, it is possible to divide a line segment in the ratio $\sqrt{3}: \frac{1}{\sqrt{3}}$

Solution:

True

Given, ratio $=\sqrt{3}: \frac{1}{\sqrt{3}}$

$\therefore \quad$ Required ratio $=3: 1 \quad$ [multiply $\sqrt{3}$ in each term]

So, $\sqrt{3}: \frac{1}{\sqrt{3}}$ can be simplified as $3: 1$ and 3 as well as 1 both are positive integer.

Hence, the geometrical constrution is possible to divide a line segment in the ratio 3 : 1

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