Chapter 14.5, Problem 21PSC

To determine

To construct a segment whose length is $\sqrt{3}$

Explanation of Solution

Given:

The given unit segment.

Calculation:

The line segment whose length is $\sqrt{3}$ can be constructed as follows-

Step 1- Draw the line segment AB.

Step 2- Draw right angle at B and draw a line perpendicular to AB.

Step 3- Measure the length of AB and cut an arc on side BC and once again cut an arc of same length to get the point C.

Step 4- Join AC which is of length $\sqrt{3}$