Question

While constructing a triangle of any given measurement how can we

construct an angle of 60o with the help of geometrical compass.

(Write down the steps of constructions )

2​

Answer 1

Answer:

Draw a working line, l, with point B on it.

Open your compass to any radius r, and construct arc (A, r) intersecting the two sides of angle A at points S and T.

Construct arc (B, r) intersecting line l at some point V.

Construct arc (S, ST).

Construct arc (V, ST) intersecting arc (B, r) at point W.

Draw line BW and you’re done.

Answer 2

Answer:

Constructing a 60° angle

To construct the equilateral triangle, we:

• open the compass to the same dimensions as our original line.
• place the point of the compass on one end of the line and draw an arc.
• repeat this at the other end and the arcs should intersect where the tip of the triangle should be.
• Connect the tip of the triangle to one end of the base, and you will have a 60° angle.