Chapter 10, Problem 16CR

To determine

To construct: The line segment length t with required length.

Explanation of Solution

Given information:

The given line segments are as follows:

  

The line segment $t^2=bc$

The given line segments are of length given below.

  $\begin{array}{l}b=2cm,\\ c=1cm\\ t^2=bc=\sqrt{2}\end{array}$

Procedure to construct the line t:

• Draw the line l and represent the point A on the line.
• Place compass point marker at point A and mark point O at $2cm$ length.
• O as center draw an arc online l, intersecting at $1cm$ length. Label the intersection point B.
• Draw the perpendicular line so that $BC=1cm$ .
• Draw the line $KZ.$
• Draw the line $AC=t=bc=\sqrt{2}$

The line segment t is shown below.

  

Hence, the line segment length t with required length is constructed.