How many triangles can be drawn by means of 9 collinear points?

The number of triangles are 9C3 = 84.

How many triangles can be drawn through n points on a circle?

There are a total of 3 points on the circle to be chosen from a total of 10 possible points on the circle. Thus the answer to this question is 10C3 = 120 possible triangles can be drawn.

How many different triangles can be formed using the 9 points as vertices?

Answer to (2) is 79.

How many lines can go between 8 points?

Out of 8 points, you can build 8*7/1*2 pairs: you can draw 28 lines.

How many triangles can you form from 9 distinct points on a plane no three of which are collinear with each other?

Can a triangle have 3 points but have 8 points?

If you mean triangles with their three points only among the 8 points, the answers has been given. However, it is possible to have a triangle formed from the intersection of chords between the 8 points. That is, not all the corners of the triangle are on the circle. For instance, take 4 points. They make a quadrilateral.

What are the properties of the nine-point circle?

The triangle center at which the incircle and the nine-point circle touch is called the Feuerbach point. Other properties of the nine-point circle. The radius of a triangle’s circumcircle is twice the radius of that triangle’s nine-point circle.

Are all the corners of a triangle on a circle?

However, it is possible to have a triangle formed from the intersection of chords between the 8 points. That is, not all the corners of the triangle are on the circle. For instance, take 4 points. They make a quadrilateral.

Does the nine-point circle work if the orthocenter and circumcenter fall outside?

Even if the orthocenter and circumcenter fall outside of the triangle, the construction still works. In geometry, the nine-point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant concyclic points defined from the triangle. These nine points are: