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Monday 26 August 2024

Trisecting an angle

          An angle Trisector divides an angle into three equal angles. If the angle is 'θ', the three angles made after trisecting will be 'θ/3'.

Problem: To Trisect a given Angle ABC

1. Let us consider some angle ABC, B as vortex,

2. Take some length in compass and place your compass on the vertex of the angle, here on point B. Draw an arc that crosses both sides of the angle, lines AB and BC. Mark those points as D,E as shown,

3. Connect D and E with scale, 

4. Mark centre point of DE line (or Draw an angular bisector) mark it as 'T', with TD or TE length draw an arc as 'T' as centre.

5. With the same length draw two arcs from point D and E on previously drawn arc.

6. Mark the point of intersections as F, G.

7. Connect FB and GB points with scale, these will form an Angular Trisector of previously given angle.


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