constructing `90^@` using a compass
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 illustrated
• 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.