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Is it possible to trisect any given angle using only straightedge and a compass?

Anonymous

∙ 9y ago

Updated: 12/9/2022

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 general

with those tools, although there are a few specific angles, like a

right angle, for which it can be done.

Wiki User

∙ 14y ago

What else can I help you with?

Related Questions

Is it possible to trisect any angle using a compass and straightedge?

True

Is it possible to trisect any angle using only a compass and straightedge?

True

Is possible to trisect any angle using only a compass and straightedge?

As a general rule, no.

Is it possible to trisect any given angle using a straightedge and compass?

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

Is it possible to trisect a right angle using only straightedge and compass?

Yes and the trisections will form 4 angles of 22.5

Using a compass and a straightedge is it possible to construct Rays to trisect any angle true or false?

False. It is not possible to trisect any arbitrary angle using only a compass and straightedge, as proven by Pierre Wantzel in 1837. While some specific angles can be trisected using these tools, the general case of angle trisection is one of the classic problems of ancient geometry that cannot be solved with these methods.

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

No

It is possible to trisect any angle using only a compass and a straightedge true or false?

False. It is impossible to trisect any angle using only a compass and straightedge, as proven by Pierre Wantzel in 1837. While some angles can be trisected using these tools, the general case for all angles cannot be achieved through classical construction methods.

Is it possible to construct an angle of 22.5 degrees using a compass and a straightedge?

Yes

Is it possible to bisect any given angle using only a straightedge and a compass?

no

It is possible to bisect any given angle using only a straightedge and a compass?

Yes

If I have an answer to the trisect any angle geometry question how can I discover if I am right or wrong?

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.

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