SOLUTION: 6 points are placed on the line a, 4 points are placed on the line b. How many triangles is it possible to form such that their vertices will be the given points, if a∥b?
Algebra ->
Real-numbers
-> SOLUTION: 6 points are placed on the line a, 4 points are placed on the line b. How many triangles is it possible to form such that their vertices will be the given points, if a∥b?
Log On
Question 1120837: 6 points are placed on the line a, 4 points are placed on the line b. How many triangles is it possible to form such that their vertices will be the given points, if a∥b?
i got 96 but i just wanted to check my answer Answer by ikleyn(52814) (Show Source):
You have = 6*6 = 36 different triangles having one vertex in line "a" and two vertices in line "b".
Plus you have = 4*15 = 60 other triangles, having one vertex in the line "b" and 2 vertices in the line "a".
In all, there are 36 + 60 = 96 triangles.