Q:

I need help!! It is possible to trisect a line segment using only a straightedge and a compass. True or fasle

Accepted Solution

A:
Answer with explanation:→Draw a Line segment of any length on a piece of paper.Measure the length of segment with the help of Straightedge.→Now if it is a number divisible by 3,with the help of compass divide the length of segment by 3 and by placing the compass on the straightedge open the compass starting from 0 up to that length.→If the number is not divisible by 3, round the number to nearest rational number.→And then Mark arc with the help of Compass from starting of line segment the length being equal to the number obtained after dividing by 3,and after obtaining the first point taking the same width mark second arc from the point obtained.This is required trisected line segment. ⇒The Statement is True which is we can trisect a line segment using only a straightedge and a compass.