Chapter 14.4, Problem 15PSC

To determine

To construct the square whose diagonal is equal to given line segment.

Explanation of Solution

Given:

The given line segment is −

  

Calculation:

The following figure shows the construction ofthe square whose diagonal is equal to given line segment.

  

Here, the length of diagonal $AC$ is equal to the length of given segment $AB$ .

Step 1- draw the two diagonals of AC and BD of same length as given.

Step 2- now join all the four points A,B,C and D to obtain the square ABCD with O as the bisection point of the two diagonals,