N points on the side

There is an equilateral triangle A, B, C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides.

Correct answer:

n =  2197

Step-by-step explanation:

N=13  n=N3=133=2197



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







Tips to related online calculators
See also our variations calculator.
See also our trigonometric triangle calculator.
Would you like to compute count of combinations?

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • Combi-triangle
    komb_triangle On each side of the square is marked 10 different points outside the vertices of the square. How many triangles can be constructed from this set of points, where each vertex of the triangle lie on the other side of the square?
  • Count of triangles
    SquareTriangle Given a square ABCD and on each side 10 internal points. Determine the number of triangles with vertices at these points.
  • Equilateral triangle ABC
    equliateral In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near the point C, and the point M lies in the one-third of the side of the AC side closer to the point A. Find what part of the ABC triangle cont
  • MO - triangles
    metal On the AB and AC sides of the triangle ABC lies successive points E and F, on segment EF lie point D. The EF and BC lines are parallel and is true this ratio FD:DE = AE:EB = 2:1. The area of ABC triangle is 27 hectares and line segments EF, AD, and DB seg
  • Lines
    lines How many lines can be draw with 8 points, if three points lie on one line and the other any three points do not lie on the same line?
  • Points in space
    roviny There are n points, of which no three lie on one line and no four lies on one plane. How many planes can be guided by these points? How many planes are there if there are five times more than the given points?
  • Candy - MO
    cukriky Gretel deploys to the vertex of a regular octagon different numbers from one to eight candy. Peter can then choose which three piles of candy give Gretel others retain. The only requirement is that the three piles lie at the vertices of an isosceles trian
  • Hockey Championships
    hokej At the 2021 World Hockey Championships, there are eight teams in Group A, each of which plays seven matches. There are 4 points for each team to gain points (3-2-1-0), but it is always paired with the opponent's points ( 0-1-2-3). How many points are ther
  • Variations
    pantagram Determine the number of items when the count of variations of fourth class without repeating is 42 times larger than the count of variations of third class without repetition.
  • Construct 8
    axes2 Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: the vertices of this triangle must be the points A (1,7) B (-5,1) C (5, -11). the said problem should be used the concepts of: distance from a point to a li
  • CoG center
    tetrahedron Find the position of the center of gravity of a system of four mass points having masses, m1, m2 = 2 m1, m3 = 3 m1, and m4 = 4 m1, if they lie at the vertices of an isosceles tetrahedron. (in all cases, between adjacent material points, the distance
  • Points in plane
    linear_eq The plane is given 12 points, 5 of which is located on a straight line. How many different lines could by draw from this points?
  • Combinatorics
    fontains The city has 7 fountains. Works only 6. How many options are there that can squirt ?
  • Three parallels
    rs_triangle The vertices of an equilateral triangle lie on 3 different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle.
  • Similarity coefficient
    eqlateral_triangles The ratio of similarity of two equilateral triangles is 3.5 (ie 7:2). The length of the side of smaller triangle is 2.4 cm. Calculate the perimeter and area of ​​the larger triangle.
  • 2nd class variations
    cards From how many elements you can create 2450 variations of the second class?
  • Equilateral triangle v3
    RRtrojuhelnik Calculate the content of the colored gray part. Equilateral triangle has side length 8 cm. Arc centers are the vertices of a triangle.