Chapter 10, Problem 17CR

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 $at=bc$

The given line segments are of length given below.

  $\begin{array}{l}a=3cm,\\ b=2cm,\\ c=1cm\\ at=bc=2\\ t=2/3\end{array}$

Procedure to construct the line t:

• Using ruler draw an arbitrary angle C.
• From angle vertex Construct the line segments a and b on its sides, equal to the two given corresponding sides.
• The end points of the segments a and b are the point A and B.
• Draw the line $AB.$ .
• Construct the line segment equal to the third segment c, that is adjacent to a.
• Construct the line $ED$ , that the line $AB$ parallel to line $ED$
• So, that $at=bc$ .

The line segment t is shown below.

  

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