78.9k views
3 votes
Points B, C, D, E, F, and G are equally spaced along circle A.Select 3 points that could be connected to create an equilateral triangle inscribed in circle A.BCАFODE

Points B, C, D, E, F, and G are equally spaced along circle A.Select 3 points that-example-1
User Tonito
by
3.7k points

1 Answer

7 votes

we are asked to determine the points that when connected form an equilateral triangle inside the circle. Like this:

An equilateral triangle is a triangle that has equal side lengths. When inscribed in a circle the distance between vertices along the circle is the same, therefore, we need to join points in a way that the distance between vertices is equal. We can join point BF, BD, and FD, like this:

Since each point is at the same distance along the circle and therefore, the triangle is equilateral.

Points B, C, D, E, F, and G are equally spaced along circle A.Select 3 points that-example-1
Points B, C, D, E, F, and G are equally spaced along circle A.Select 3 points that-example-2
User Aghilas Yakoub
by
3.4k points