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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.
mathsConstruction / Practical Geometry (basics)Standard angles Using Campus

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.

slide-show version coming soon