When constructing an inscribed equilateral triangle, how many arcs will be drawn on the circle?

Mathematics

2 answers:

Lady bird [3.3K]2 years ago

6 0

The answer is A(3). 3 arcs will be drawn

Burka [1]2 years ago

4 0

It can be done with 2 arcs. In the attached, I started with diameter AD, then drew arcs at B and C of the same radius as the circle from a center at A. Triangle BCD is the inscribed equilateral triangle.

Perhaps a more usual method would be to start at D, draw an arc at E, then from there at B. Resetting the compass to have radius, DB, a third arc can be drawn at C using either B or D as the center. This method would give you
.. selection A: 3 arcs

If you didn't want to reset the compass, you could draw two more arcs, say from B to A, then from A to C. This method would give you
.. selection B: 4 arcs.

You might be interested in

True or false, rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about a po

Andru [333]

In fact, if a design still looks the same after some rotation, then it has Rotational Symmetry. In this context, this design can be an object, a figure, a thing, etc. So these characteristics is the typical quality or feature of this object, figure or thing. An example of rotational symmetry is the Ferris Wheel when it rotates about the center.