Q: Is it possible to trisect any given angle using only a straightedge and a compas?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

True

True

No, and the proof was provided by Wantzel in 1837.

Yes and the trisections will form 4 angles of 22.5

no

Related questions

True

True

As a general rule, no.

No, and the proof was provided by Wantzel in 1837.

Yes and the trisections will form 4 angles of 22.5

That's a classic problem that's been around for a very long time.It's been proven that it's not possible to trisect any angle in generalwith those tools, although there are a few specific angles, like aright angle, for which it can be done.

First things first, the actual statement isn't "you can't trisect an angle" but rather "you can't trisect one with only a compass and straightedge." Some angles can be easily trisected--a 90-degree angle trisects into 30-degree segments-but to do it you need a protractor. Anyway, to check your work measure the angle you trisected and divide by three. If your trisections match, you got it right.

no

Yes

Yes

You get three angles that are each one third of the original angle. Note that it is impossible to give a general procedure to trisect any angle by using compasses and straight edge alone. There are special cases which are possible, eg a right angle (90°).

3. trisect means three