Trisecting a line segment by using only a straightedge and compass was proven impossible by advanced algebra.

True or False

The correct answer is True.

That is, it is impossible according to the mathematical proof put forward by Pierre Wantzel in 1837, to trisect a line segment by using only a straight edge and a compass.

What is possible however is the trisection of a right angle.

It is also possible to trisection other arbitrary angles using other tools besides a straight edge and a compass.

Trisection refers to the division of a quantity or a number into three equal parts. Angle trisection refers to the construction of an angle equal to three arbitrary angles that are equal to each other.

Cheers!