Math and Arithmetic
If you put 6 triangles together by placing the points inward what shape does it make?
You make a hexagon.
With careful design of the size, shape and placement of the 6 triangles, you can produce : -
- any triangle, acute obtuse or scalene
- any quadrilateral, regular or irregular
- a regular hexagon
- an irregular hexagon
- an irregular octagon
- an irregular decagon
- an irregular dodecagon
- a huge variety of non-polygonal shapes.
Asked in Geometry, Prime Numbers
What is the least number of points in which two triangles can intersect?
Asked in Math and Arithmetic, Algebra, Geometry
Given n points in the plane you draw all possible triangles whose vertices are any three of the given points Atleast how many of them are obtuse-angled triangles?
The least number of obtuse triangles, if all possible triangles are drawn for n points in a plane, is zero. If all the n points lie in a straight line, no triangles are possible and so no obtuse triangles are able to be drawn; thus for any number n, there is a possibility that no obtuse triangles can be drawn, so the least possible number of obtuse triangles drawn is zero.
Asked in Fractals
How many triangles can be drawn from 6 points where 4 of them are in straight line?
Asked in Geometry
How many triangles can be made from five points?
The geometric shape formed by connecting the perimeter of five points is a pentagon. Its basic construction is that of three triangles with one triangle in the middle sharing two of its sides with a base line of the other two triangles. The maximum number of triangles that can be created, if you count only those triangles that are formed by line segments between each of the five points, are ten (10).
How many triangles are there within a nonagon?
to calculate the number of possible triangles within a nonagon, one must use combinatorics. Understand that at first you have to pick the first vertex from 9 points, then the second from eight other possible points, and the third from 7 possible points. And finally that by this process any three vertices could be picked in 6 different orders. triangles possible are: 9*8*7/6 = 84 possible triangles in a nonagon