Given the line segments EF and GH . Construct a line segment with length equal to (EF+GH)/ 2

Step-by-step explanation:

Let EF and GH are the two lines segment of length a and b such that a> b

We can construct line AB by using ruler and compasses.

Step 1: Draw a line longer than the combined length of EF + GH or (a+b) and mark a point A on it Step 2: Using a compass, cut a line segment AC on line l equal to the length of EF by keeping its metal point of A Step 3: Using a compass, cut a line segment BC on line l equal to the length of EF by keeping its metal point of BStep 4: Using a compass, cut a line segment AH online AC equal to haft of the length of AC

=> we have a line segment with length equal to (EF+GH)/ 2

Hope it will find you well.