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Thought-Process to Discover Knowledge

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Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

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In this page, a short and to-the-point overview of constructing `15^@` angle using a compass is provided.



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Which of the following help to construct `15^@` angle using a compass?

  • construct `60^@` and bisect that twice
  • construct `60^@` and bisect that twice
  • `15^@` angle cannot be constructed using a compass

The answer is "construct `60^@` and bisect that twice"

We have learned constructing `60^@` and bisecting an angle using a compass. Combine these two to construct `15^@` angle.construct 15 degree

 •  With an arbitrary distance-measure on compass, mark point `P` from point `A` on line `bar(AB)`.

 •  With the same distance measure on compass, construct two arcs from points `A` and `P`. The arcs cut at point `Q`. `bar(AQ)` makes `60^@` with the `bar(AP)`.

 •  With an arbitrary distance-measure on compass, construct two arcs from points `P` and `Q`. These arcs cut at point `R`. The line `bar(AR)` bisects the angle `/_PAQ`.

 •  With an arbitrary distance-measure on compass, construct two arcs from points `P` and `R`. These arcs cut at point `S`. The line `bar(AS)` bisects the angle `/_PAS`.

The angle `15^@` is constructed as `/_PAS`.

Constructing `15^@` angle using a Compass : Construct an equilateral triangle and the angle `60^@` is constructed at the vertex. Bisect the angle twice.construct 15 degree

                            
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