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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.

Read in the blogs more about the unique learning experience at nubtrek.continue

In this page, a short and to-the-point overview of constructing `90^@` angle using a compass is provided.



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Which of the following help to construct `90^@` angle using a compass?

  • construct two `60^@` and bisect the second `60^@`
  • construct two `60^@` and bisect the second `60^@`
  • `90^@` angle cannot be constructed using a compass

The answer is "construct two `60^@` and bisect the second `60^@`"

Constructing `90^@` with two `60^@` is illustratedconstruting 90 degree using a compass

 •  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 the same distance measure on compass, construct two arcs from points `A` and `Q`. The arcs cut at point `R`. `bar(AR)` makes `120^@` with the `bar(AP)`.

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

The angle `90^@` is constructed as `/_PAS`.

Constructing `90^@` angle using a compass : Construct two equilateral triangles and bisect the second one to construct `90^@` angle.construting 90 degree using a compass

                            
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