Question

When constructing an equilateral triangle,

what step comes after six arcs are
created on the circle.

Answer 1

After creating six arcs on a circle, the next step in constructing an equilateral triangle is to connect every other intersection of an arc and the circle to form the triangle.

How to construct an equilateral triangle?

The steps to construct an equilateral triangle are;

1. Place your compass point on A and measure the distance to point B. Swing an arc of this size above (or below) the segment.

2. Without changing the span on the compass, place the compass point on B and swing the same arc, intersecting with the first arc.

3. Label the point of intersection as the third vertex of the equilateral triangle.

Thus, after creating six arcs on a circle, the next step in constructing an equilateral triangle is to connect every other intersection of an arc and the circle to form the triangle.

This involves using the compass to connect the points where the arcs intersect the circle in a specific pattern to create the desired equilateral triangle

Answer 2

Join the 6th arc with the 2nd arc and the 4th arc to form the sides of the equilateral triangle

Explanation:

* Lets revise how to construct an equilateral triangle

1. Place your compass point on the paper and draw a circle

2. Place a dot, labeled A, anywhere on the circumference of the circle

3. Without changing the distance on the compass, place the compass

point on A and swing a small arc crossing the circumference of

the circle.

4. Without changing the span on the compass, move the compass

point to the intersection of the previous arc and the circumference

and make another small arc on the circumference of the circle

5. Keep repeating this process of until you return to point A which

is the 6th arc. Now you have six arcs on the circle

6. Join point A by the second arc and label it by B and then

join point A with the fourth arc and label it by C to form the

sides of the equilateral triangle

- For more understanding if the labels of the six arcs are A, B, C,

D, E, F; you will join A , C and E to form the equilateral triangle

∴ The step comes after six arcs which created on the circle is join

the 6th arc with the 2nd arc and the 4th arc to form the sides

of the equilateral triangle