Chapter 14, Problem 4CTE

To determine

To construct: a segment of length $\frac{1}{2}(x+y)$ where $x>y$ , $x,y$ are two line segment.

Answer to Problem 4CTE

  

Explanation of Solution

Given information:

Instructed to consider two line segment $x,y,x>y$ and find a segment of length $\frac{1}{2}(x+y)$ where $x>y$ , $x,y$ are two line segment.

  

Calculation:

Therefore first we have to find the lines half of length of given lines $x,y$ . Then adding then will give the required line segment as follow,

  

We can write,

  $\frac{1}{2}(x+y)=\frac{1}{2}x+\frac{1}{2}y=A_1{B}_1+C_1{D}_1$

And then by adding them will get the line $EF=\frac{1}{2}(x+y)$ .